what remainder is represented by the synthetic division below?
Answer: 2 on a question What remainder is represented by the synthetic division below? In the synthetic division method, we use only the numbers for calculation and this method avoids the usage of the variables. The proposed solution, called Cognitive control loop (CO-OP), is … Use the Remainder Theorem. An initial design, based on collective knowledge of molecular biology in combination with limited transposon mutagenesis data, failed to produce a viable cell. 4. Synthetic Division (Definition, Steps and Examples) 26. Hard synthetic division. The following are the steps while performing synthetic division and finding the quotient and the remainder. synthetic division For synthetic division to work, the polynomial must be written in . In long division we divide and . Answer (1 of 4): In general, for polynomials of degree higher than two, one of the best ways is to use a procedure called synthetic division. 2E ). The number 10 is a polynomial because 10 can be represented as follows: 10 × x 0 which is equal to 10. 8x 3 - 4x2 + 0x + 6 . Synthetic Division - ChiliMath Division As its light fades, you catch the briefest glimpse of dragonfly wings and an Title: Infinite Algebra 2 - Solving Exponential Equations Same Base (SEESB) Created Date: 5/5/2016 6:22:49 PM Photomath is the best app to learn … Set up the synthetic division to solve as shown below. What Dividend Is Represented By The Synthetic… What Divisor Is Represented By The Synthetic Division Below? Sum of all three digit numbers divisible by 6. x 3 − 3 x 2 + 5 x + 6 x + 2 = x 2 − 5 x + 15 − 24 x + 2 \frac{x^3-3x^2+5x+6}{x+2} = x^2-5x+15 -\frac{24}{x+2} \\ x + 2 x 3 − 3 x 2 + 5 x + 6 = x 2 − 5 x + 1 5 − x + 2 2 4 x = 1, x = 2, or x = 4 _x = -2, x = 1, or x = 2 x = 2, x = 4, or x = 16 x = -16, x = 2, or x = 16. (x - 2) (x + 5) (x - 3) We will take the following expression as a reference to understand it better: (2x 3 - 3x 2 + 4x + 5)/(x + 2). Principles is represented by the synthetic division What are all the roots of the function? Place the numbers representing the divisor and the dividend into a division-like configuration. - the answers to answer-helper.com synthetic division ; Write the coefficients in the dividend's place and write the zero of the linear factor in the divisor's place. Solution a) Since the binomial is x + 4 = x - (-4), determine the remainder Facebook Twitter Pinterest Linkedin Email. Below, we outline four different common ChIP uses, ranging from more relaxed to stringent in their requirements toward data quality and site-calling sensitivity. Once dispensed, vials should be stored at or below 25°C (77°F) for up to 3 months or until the expiration date, whichever occurs first. What are all the roots of the function? Answer: Question 4. mc001-1.jpg. Synthetic division is a short cut for doing long division of polynomials and it can only be used when divifing by divisors of the form . Division Symbol. Identify the polynomial divisor, dividend, and quotient represented by the synthetic division. The result or quoitient of such a division will either divide evenly or have a remainder. What is the quotient? These problems degrade the performance of Elastic Optical Networks with Space-Division Multiplexing. Long Division of Polynomials (begin synthetic division) 6.3 # 3, 4, 13, 15, 16. x + 5. 1) If p(x) is divided by (x+1) using synthetic division, the value of r to be used will be equal to . The divisor is ( x + 5) and. ... Use synthetic division and the Remainder Theorem to find P(a). It is generally used to find out the zeroes or roots of polynomials and not for the division of factors. 2 0 1 → 2x² + 1. Reasoning . What Divisor Is Represented By The Synthetic… Can You Always Use Synthetic Division For Dividing… 26. Dividing the quotient by 2, we get 4x 3 - 2x 2 + 0x + 3 . the quotient is represented by the first 3 numbers on the bottom row. Use synthetic division and the given factor to completely factor each polynomial function. It can be observed from the given synthetic division the polynomial is that is divisible by the polynomial . x − k). 38. The remainder of the definitions preceding the primitive propositions are less important, and may be passed over. In 22 ÷ 2 = 11, 22 is the dividend, 2 is the divisor and 11 is the quotient. Evaluating a Polynomial Use synthetic division to evaluate f(x) = 5x3 − x2 + 13x + 29 when x = −4. Use the Remainder Theorem. A.01.001 These Regulations may be cited as the Food and Drug Regulations.. A.01.002 These Regulations, where applicable, prescribe the standards of composition, strength, potency, purity, quality or other property of the article of food or drug to … What is the solution to the division problem below? the quotient is represented by the first 3 numbers on the bottom row. heart outlined. What happens when the asymptote of … In the division process, the number you need to divide up is said to be as the dividend, and the number that you are dividing by is indicated as the divisor, while the result is said to be as the quotient. O B. x2x-3 O C. 2+x-1 licy . What are all the factors of the function? Synthetic division: A short way of dividing a polynomial by a binomial. In this case that number is 0. When using nonlinear divisors, long division must be used. If there is no remainder, then the "" is said to be a … What does it mean if P((4) for the polynomial function P(x) = x3 + 11x2 + 34x + 24 equals zero? x 2 - 8 x + 1 D . Step 4: Multiply this number by the number to the left of the division symbol and place it in the next column. 38. Answer. Synthetic Division polynomial P(x) = 2x^3 + x^2 - … Answer ... the following numbers: 2, 10, 1, 5 They are the coefficients of the polynomial and they are in the upper part of the division. Use Synthetic Division To Find P(-3) For P(X)=X^4-2X^3-4X+4; Using Synthetic Division, Find (X4 − 2) ÷ (X + 1). Step-by-step explanation: The coefficients of the dividend are represented by … –5 5 x + 5 x – 5. Step-by-step explanation: The coefficients of the dividend are represented by the top row, that is. Work the division in your calculator as normal. Once you have the answer in decimal form, subtract the whole number, then multiply the decimal value that's left by the divisor of your original problem. The result is your remainder. For example, divide 346 by 7 to arrive at 49.428571. Round this to a whole number of 49. The first example is synthetic division with only a monic linear denominator .. If the remainder is not zero, then it means that (x-a) is not a factor of p(x). Use the Remainder Theorem. Jamal actually divided by x + 3. One root of f(x) = x^3 - 4x^2 - 20x + 48 is x = 6. The synthetic division is given below. To perform division, we’d like some function on the objects we’re dividing that makes the remainder “smaller” than than the divisor. Use synthetic division to solve (x4 – 1) ÷ (x – 1). Question 3 : If the quotient obtained on dividing 3x 3 + 11x 2 + 34x + 106 by x - 3 is 3x 2 + ax + b, then find a, b and also the remainder.. Use the Remainder Theorem. Using synthetic division, what is the width of the rectangle . We review their content and use your feedback to keep the quality high. Food and Drug Regulations. = 2x + 3 + 3 _ x + 2 Synthetic Division Method EXAMPLE 2 Using Synthetic Division to Divide by a Linear Binomial Divide by using synthetic division. x³ - x² + x One factor of f(x) = 4x³ - 4x² - 16x + 16 is (x - 2). Subtract the product of step 3 by adding the opposite of each term. (x2 ( 13x – 48) ÷ (x + 3) 2. Remainder 200. vi. What is the quotient in polynomial form? What is the quotient? given… What remainder is represented by the synthetic division below? Thus, \(20÷4=5\). Graduate Program in Mathematical, Computational, and Systems Biology. x³ - x² + x. Remainder when 2 power 256 is divided by 17. Finally, What is the dividend in a synthetic division problem?, Synthetic Division by x − a. WRITING Explain what the colored numbers represent in the synthetic division in Exercise 3. 2 0 1 → 2x² + 1. These symbols are used as per convenience while dealing with various types of problems and calculations. Jpg –5 0 1 2. The first example is synthetic division with only a monic linear denominator .. ... What remainder is represented by the synthetic division below? So 2 10 1 5 represent the dividend . A . What is the quotient? .___1 x|x+1 ... What divisor is represented by the synthetic division below?-5|2 10 1 5. . –5 0 1 2 - the answers to answer-helper.com Another form of division is called synthetic division. Use synthetic division to solve (x³ + 1) ÷ (x - 1). Since zero this indicates that (x + 5) is a factor of 2x³ + 10x² + x + 5. soobee72pl and 82 more users found this answer helpful. Synthetic Division Method. For example, instead of using polynomials lets use integers 65/3 = 21 with a remainder of 2 If you were to write it without the remainder it would be 63/3 + … Theorem. P ... and remainder represented by the synthetic division below? Answer: I think you’re talking about the result. Reasoning . CTF estimations were calculated with Gctf v 1.18 55. Sum of all three digit numbers divisible by 6. Evaluating a Polynomial Use synthetic division to evaluate f(x) = 5x3 − x2 + 13x + 29 when x = −4. The following are the steps while performing synthetic division and finding the quotient and the remainder. 6. Use synthetic division and the given factor to completely factor each polynomial function. What remainder is represented by the synthetic division below? I must say that synthetic division is the most “fun” way of dividing polynomials.
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2. 5) (n n n ) (n ) 6) (a a a a ) (a ) This remainder carries forward when the process is repeated on the following digit of the dividend (notated as 'bringing down' the next digit to the remainder). Use Synthetic Division To Find P(-3) For P(X)=X^4-2X^3-4X+4; Using Synthetic Division, Find (X4 − 2) ÷ (X + 1). 5 is called the divisor, 47 is the dividend , … 0. Divide using synthetic division. Related Posts: What divisor is represented by the synthetic division below? mc004-1.jpg. 2,459 Likes, 121 Comments - University of South Carolina (@uofsc) on Instagram: “Do you know a future Gamecock thinking about #GoingGarnet? |_-10 0-5. . 2.5 Apply the Remainder and Factor Theorems x + 5. The remainder of the pentane was carefully removed under a stream of nitrogen and the final 10-μl sample was analysed by gas chromatography–mass spectrometry (GC–MS) … (You can use long division or synthetic division.) We review their content and use your feedback to keep the quality high. mc001-1.jpg Divisor: –3 3 x – 3 x + 3 Dividend: 2x3 + 11x2 + - 9465649 0. P(x) = 3x3 ( 4x2 ( 5x + 1; a = 2 ... What are the divisor, quotient, and remainder represented by the synthetic division below? Use synthetic division. Use the bottom row of the synthetic division as coefficients in the quadratic 2x2 + 3x - 2. .___1 x|x+1 ... What divisor is represented by the synthetic division below?-5|2 10 1 5. . Thus, the formal definition of synthetic division is given as: P (x)/ (x-a) = Q (x) + [R/ (x-a)] Hence, we can use the synthetic division method to find the remainder quickly, if “a” is the factor of the polynomial. The remainder theorem states that when a polynomial in Px, (x), is divided by a binomial of the form x-a, the remainder is P(a). What Dividend Is Represented By The Synthetic… What Divisor Is Represented By The Synthetic Division Below? -5 0 1 2. What is the quotient? ... 285 with a remainder of 0. P ... quotient, and remainder represented by the synthetic division below? Pursuant to Rule 457(c) under the Securities Act of 1933, as amended (the “Securities Act”), the proposed maximum offering price per share and the proposed maximum aggregate offering price have been determined on the basis of the average of the high and low prices reported on the New … Synthetic Division – Answers. Remainder: In division, the difference of the dividend minus the product of the quotient times the divisor. The number 10 is a polynomial because 10 can be represented as follows: 10 × x 0 which is equal to 10. 2 10 1 5 → 2x³ + 10x² + x + 5. Transcribed image text: What remainder is represented by the synthetic division below? The remainder of the processing was performed in RELION 3.0 51. $16:(5 Sample answer: Sharon; Jamal actually divided by x + 3. 5 -Synthetic Division and Synthetic Substitution-Remainder Theorem Worksheet (p.11 in packet) 6 REVIEW TO BE ANNOUNCED 7 QUIZ (50 points) ENJOY THE BREAK 8 Factor Theorem So, to evaluate f(x) when x = k, divide f(x) by x − k. The remainder will be f(k). 100% (2 ratings) In synthetic division the last digit of divisio …. 5 1 0 19 30 5 25 30 Step 3 The quotient is represented by the numbers below the horizontal bar. Estimated solely for the purpose of calculating the registration fee. Finding square root using long division. What is the quotient? Sometimes using a shorthand version called synthetic … You can easily find the remainder of a division problem by simply using the long division. View the full answer. Synthetic division can be used to divide a polynomial only by a linear binomial of the form x – r and only uses the coefficients of each term. Place the numbers representing the divisor and the dividend into a division-like configuration. ; Write the coefficients in the dividend's place and write the zero of the linear factor in the divisor's place. Sum of all three digit numbers divisible by 7 What are all the roots of the function? Therefore, the polynomial is a factor of the polynomial . The correct answer is:x³+x²+x+1.Explanation:First we write the polynomial out with all of the other powers of x, using 0 as their coefficients:(1x⁴+0x³+0x²+0x-1)÷(x-1)To perform synthetic division, we write the coefficients of the dividend in a row:1 0 0 … The volume of a rectangular prism is (x3 - 3x2 + 5x - 3), and the area of its base is (x2 - 2). Regular synthetic division. What is the remainder in the synthetic division problem below? What remainder is represented by the synthetic division below? Check below the step-by-step procedure of long division method to find the square root of 5. Oblique asymptotes – Properties, Graphs, and Examples. $\begingroup$ No, you read from right to left all the numbers below the line, and you increase the power of x by beginning with the number left to the remainder, so $30x^0+7x^1+1x^2+1x^3=x^3+x^2+7x+30$. Synthetic division is a shortcut method for dividing polynomials and finding the zeros of the polynomial. 3. Ammonia production has become one of the most important industries in the world. So, Sharon is correct. Use the Remainder Theorem. x^3+x^2+x+1 If f (-5) = 0, what are all the factors of the function mc022-1.jpg? What remainder is represented by the synthetic division below?-5|2 10 1 5. . The first number in the dividend is put into the first position of the result area (below the horizontal line). Synthetic Division of Polynomials. The others are the coefficients of the polynomial quotient, in order of decreasing degree. x + 5. Synthetic division is a short cut for doing long division of polynomials and it can only be used when divifing by divisors of the form . Online Matrix division calculator step by step by multiply two matrices A and B that is an inverted matrix. Title This award is the Manufacturing and Associated Industries and Occupations Award 2010.. 2. C.R.C., c. 870 FOOD AND DRUGS ACT. L.C.M method to solve time and work problems. Solution : Write the product below the dividend. Sum of all three digit numbers divisible by 7 P ... quotient, and remainder represented by the synthetic division below? Select all of the roots of x^3 + 2x^2 - 16x- 32. ••• Tag them to make sure they apply…” Next Post Next What remainder is represented by the synthetic division below? .2 .0 .1 0 0 Use synthetic division to solve (x³ + 1) ÷ (x - 1). If writing as a fraction, the remainder is in the numerator of the fraction and the divisor is in the denominator. x-k). 4 C . The numbers below the division sign represent your coefficients. .... . mc004-1. An example is shown below, representing the division of 500 by 4 (with a result of 125). Division of multivariate polynomials is not well-defined, because they no longer form a Euclidean domain. Search for: Search. Synthetic division: (y 3 – 3y 2 + 5y – 1) ÷ (y – 1) ... Find the factors of the polynomials given below. The division can be represented by the symbol \( \div \), slash (/) or a horizontal line ( _ ). In algebra, polynomial long division is an algorithm for dividing a polynomial by another polynomial of the same or lower degree, a generalized version of the familiar arithmetic technique called long division.It can be done easily by hand, because it separates an otherwise complex division problem into smaller ones. Why when 172/6 = 28. Use synthetic division to solve (x³ + 1) ÷ (x – 1). The last zero on the same row is the remainder. The Remainder Theorem tells you that synthetic division can be used to evaluate a polynomial function. Complete the synthetic division problem below. 5 _x + 5 x - 5. Zero of a function: The value of the argument for which the function is equal to zero; also the Root of the function and the Solution to the equation. Remainder 200. vi. Solution for Use synthetic division to find the quotient and remainder when 5x - x* + 2x2 + 2 is divided by x - 2. PART A Administration General. If there is no remainder, then the "" is said to be a … Synthetic division: (y 3 – 3y 2 + 5y – 1) ÷ (y – 1) ... Find the factors of the polynomials given below. CHALLENGE If a polynomial is divided by a binomial and the remainder is 0, what does this tell you about the relationship between the binomial and the polynomial? |_-10 0-5. . What divisor is represented by the synthetic division below? This paper introduces a new solution to improve network performance by decreasing spectrum fragmentation, crosstalk interference, blocking of virtual networks, cost, and link load imbalance. 5 B . What is the quotient? Synthetic division is generally used, however, not for dividing out factors but for finding zeroes (or roots) of polynomials. More about this later. If you are given, say, the polynomial equation y = x2 + 5x + 6, you can factor the polynomial as y = (x + 3)(x + 2). The dropped number is multiplied by the number before … Answer: 2 on a question What remainder is represented by the synthetic division below? ... What are the divisor, quotient, and remainder represented by the synthetic division below? 2 D . Originating in the work of Frege, Russell, Moore, and Wittgenstein, it has now ramified into all areas of philosophy, diversifying in its methodology, ideas, and … Synthetic Division Calculator: Meaning and Formulas Used. for any missing terms, and the divisor must be in the form (x – a). Example #1: Use synthetic division to solve: ( 3 4 12) ( 2)xx x x32+ −− ÷− What are all the factors of the function? Without the crop yield made possible by ammonia-based fertilizers and chemicals, the global population would be at least two to three billion less than it is today (3).Ammonia production has increased steadily since 1946 (), and it is estimated that the annual production of ammonia is worth more … Vocabulary and Core Concept Check What dividend is represented by the synthetic division below quizlet 26. I want to present another case that uses the structure (I call it a scaffold) used for division as taught in … ... What divisor is represented by the synthetic division below? x = -2, x = 1, or x = 2. Divide 2 x 2 7 x 9 x 2 by using synthetic division WORDS NUMBERS Step 1 Write from ALGEBRA II at University of Notre Dame Use the Remainder Theorem. 1) The remainder is 3. or Ph.D. … Arrange the dividend and the divisor according to the descending powers of x and then write the coefficients of dividend in the first zero. One factor of mc017-1.jpg is (x – 2). The Synthetic division is a shortcut way of polynomial division, especially if we need to divide it by a linear factor. The quotient is The remainder is For example: Dividing #x^2 + 3x - 12 # by #x - 3#: When you use Synthetic Division, the answer is #x + 6# with a remainder of 6. 100% (2 ratings) In So 2 10 1 5 represent the dividend . What divisor is represented by the synthetic division below? The first number in the dividend is put into the first position of the result area (below the horizontal line). Answer (1 of 3): In the answers, Dave Neary does a nice job of demonstrating how polynomial divide is like elementary school’s long division. Reasoning What does it mean if P(-4) for the polynomial function P(x) = x3 + 11x2 + 34x + 24 equals zero? is a shorthand method of dividing a polynomial by a linear binomial by using only the _____. Answer: 3 on a question What remainder is represented by the synthetic division below? What are all the roots of the function? |_-10 0-5. . The synthetic division is a simple way to divide any polynomial P (x) by one of the form d (x) = x - c. For example, the polynomial P (x) = (x 5 + 3x 4 -7x 3 + 2x 2 -8x + 1) can be represented as the multiplication of the two simplest polynomials (x + 1) and (x 4 + 2x 3 ). Use synthetic division and the given factor to completely factor each polynomial function. Check your answers. Part 1 - Application and Operation 1. coefficient. The last zero on the same row is the remainder. What dividend is represented by the synthetic division below? The Remainder Theorem tells you that synthetic division can be used to evaluate a polynomial function. Use synthetic division to solve mc007-1.jpg. (SD&tRT) What remainder is represented by the synthetic division below?-5|2 10 1 5. . The number -5 is the opposite value of the divisor constant. Regular synthetic division. divisorIn a division problem, the divisor is the number or expression that is being divided into the dividend.The dividend in this word problem is 175 being the number that represents the entire … The divisor is ( x + 5) and. .2 .0 .1 0. The numerator can be written as () = +.. Step by step explanation: We have to determine the answer among all the options. So, it is a polynomial. |_-10 0-5. . Check whether the polynomial is in the standard form. L.C.M method to solve time and work problems. A . Answer: 2 on a question What remainder is represented by the synthetic division below - the answers to answer-helper.com There’s a fraction because the polyonimal doesn’t divide evenly. The last zero on the same row is the remainder. Use synthetic division to find the quotient of (x4 + 8x2 – 5x3 – 2 + 15x) ÷ (x – 3) Solution: By inspection, the dividend is not in standard form, so there is a need to rearrange the terms of the polynomial, Thus, x4 + 8x2 – 5x3 – 2 + 15x = x4 – 5x3 + 8x2 + 15x – 2. 2.1 This award commences on 1 January 2010.. 2.2 The monetary obligations imposed on employers by this award may be absorbed into overaward payments. The dropped number is multiplied by the number before … –2| 1 2 1 5 –2 0 –2 Correct answers: 1 question: Writing What are the divisor, quotient, and remainder represented by the synthetic division below? –5 0 1 2 - the answers to answer-helper.com What dividend is represented by the synthetic… What divisor is represented by the synthetic division below? 5. These long division worksheet answer keys may be displayed with a remainder or as a fraction. What dividend is represented by the synthetic division below?-5|2 10 1 5. . standard form, using 0 and a . Bring down the next term of the dividend. The value of p and q are -2 and 0 respectively and remainder is -10. What dividend is represented by the synthetic division below? The zero of the denominator () is .. Check whether the polynomial is in the standard form. Let's review our previous lesson on synthetic division, remainder theorem and factor theorem by answering the following activity . The remainder is 26. If, 45/5 = 9, then 5 is the divisor of 45, which divides number 45 into 9 equal parts. x 2 - 5 x + 1 B . What Divisor Is Represented By The Synthetic… Can You Always Use Synthetic Division For Dividing… We will take the following expression as a reference to understand it better: (2x 3 - 3x 2 + 4x + 5)/(x + 2). Divide using synthetic division. Of the primitive propositions, some appear to be merely concerned with the symbolism, and not to express any real properties of what is symbolized; others, on the contrary, are of high logical importance. The last zero on the same row is the remainder. Complete the synthetic division problem below. Repeat steps 2-5 until remainder is a lower degree than the divisor. The coefficients of () are arranged as follows, with the zero of () on the left: The first coefficient after the bar is "dropped" to the last row.. 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Is not well-defined, because they no longer form a Euclidean domain slanted or oblique asymptotes ) of polynomials using. X=-4, x=-2, x=4 is left, the divisor and the 2! P ( x ) Optical Networks with Space-Division Multiplexing Networks with Space-Division Multiplexing 0 0 synthetic... Difference of the divisor and the remainder Theorem to find the square root using long must! The numerator can be represented as 4 3 -2 10 9, then 5 is the number furthest to right! //Www.Nature.Com/Articles/S41467-020-15363-0 '' > B: polynomials Flashcards | Quizlet < /a > square. Number to the right + 3 function mc022-1.jpg 17 power 23 is divided by 16 dealing with types!: in division, what is the dividend, 10 is the divisor and the divisor constant 5. Dividend into a division-like configuration 24 hours when stored at or below 25°C ( )... Horizontal line ) therefore, the difference of the what remainder is represented by the synthetic division below? and the remainder: multiply number. ) is not a factor of the rectangle polynomials and not for the division symbol place. The statements given below symbols are what remainder is represented by the synthetic division below? as per convenience while dealing with various of!: i think you ’ re talking about the result Theorem of Algebra, how many roots for. Polynomials and not for the polynomial is that is divisible by 6 dividend in synthetic! When using nonlinear divisors, long division., how many roots exist for the polynomial is a shorthand of... The options dividend and the remainder > Food and Drug Regulations the last zero on the row... In the next column number in the dividend into a division-like configuration +! Explain what the colored numbers what remainder is represented by the synthetic division below? in the dividend minus the product of polynomial! Were calculated with Gctf v 1.18 55 numerator of the polynomial is that is divisible by.! = 2 id=8 '' > Algebra Examples < /a > Answer what remainder is represented by the synthetic division below? 2 a! As shown below, representing the divisor and 11 is the remainder is left, remainder... And Associated Industries and < /a > divide using synthetic division to solve ( +. Is shown below then 5 is the remainder Begin with what remainder is represented by the synthetic division below? down your problem -! – 16x + 16 is ( x – 1 ) as a fraction because the doesn... With steps shown ( ) = 0, what are all the options how many roots exist for division! A polynomial by a linear binomial by using only the numbers is the most “ fun ” way polynomial...
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what remainder is represented by the synthetic division below?