Synthetic Division Worksheet With Answers

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Direction Divide the following polynomials using Synthetic Division Use the space provided to show your work 4 3 Remainder Factor Theorem Synthetic Division Date Period Evaluate each at the given value Then DIVIDE the polynomial by quot x minus the value quot 1 f x x4 11x3 24x2 34x 13 at x 5 2 f n 3n3 7n2 17n 23 at n 4

Synthetic Division Worksheet With Answers

Synthetic Division Worksheet With Answers

Synthetic Division Worksheet With Answers
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It s more straightforward than polynomial long division and involves fewer steps to get to the answer In this lesson I ll walk you through five examples that should help you get comfortable with the basic steps needed to divide polynomials using synthetic division Synthetic Division Worksheet Name Divide the following using synthetic division 1 10x4 5x3 4x2 9 247 x 1 3 2x4 6x3 x2 3x 3 247 x 3 5 4x4 5x3 2x2 1 247 x 1 2 x3 8x2 3x 16 247 x 5

Use synthetic division to perform the indicated division Write the answer by stating the quotient Q x and the remainder R x Answers 1 4x3 10x2 11x 16 x 4 1 4x2 6x 13 68 x 4 2 x3 2x 1 x 1 2 x2 x 1 2 x 1 3 x3 2x 1 x 1 3 x2 x 1 4 Long and Synthetic Division Worksheet Date Period Divide 1 r2 6r 15 247 r 5 r 1 10 r 5 2 r2 10r 13 247 r 7 r 3 8 r 7 3 n3 5n2 33n 37 247 n 9 n2 4n 3 10 n 9 4 x3 6x2 30x 102 247 x 10 x2 4x 10 2 x 10

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6 4 Synthetic Division Worksheet Name Directions Divide the polynomials using synthetic division Make sure that the polynomial is in descending order standard form If one of the terms is missing you must put a placeholder of 0 in its place 1 x2 5x 1 x 3 5 1 SYNTHETIC DIVISION WORKSHEET Don t forget ZERO Coefficients for missing degrees Solve the binomial divisor equal to zero 1 Perform the following divisions using Synthetic Division Is the binomial divisor a factor of the polynomial What is the quotient A p 5 p 3 11 p 2 25 p 29 p 4 B y 8 y 3 10 y

Synthetic Division of Polynomials Practice Divide using synthetic division 1 3x2 2x 3 x 1 3 2k2 13k 13 k 5 5 k3 9k2 24k 17 k 5 7 b3 4b2 2b 6 b 3 2 2r2 4r 18 r 4 4 3v2 19v 19 v 5 6 b3 b2 2b 3 b 2 SYNTHETIC DIVISION WORKSHEET Don t forget ZERO Coefficients for missing degrees Solve the binomial divisor equal to zero Multiply and Add Patterns If zero value is a fraction then divide all coefficients by denominator Perform the following divisions using Synthetic Division

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Synthetic Division Worksheet With Answers - Use synthetic division to perform the indicated division Write the answer by stating the quotient Q x and the remainder R x Answers 1 4x3 10x2 11x 16 x 4 1 4x2 6x 13 68 x 4 2 x3 2x 1 x 1 2 x2 x 1 2 x 1 3 x3 2x 1 x 1 3 x2 x 1 4