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Use the Remainder Theorem to find the remainder of each polynomial division. Then determine if the divisor is a factor of the polynomial. 10. (x² + 9) ÷ (x – 3) 11. (x - 4x + 6) + (x+ 3) 12. (x* + 4x³ + 16x – 35) + (x + 5) (xt+Hx3+lox-35) + Lx+s) 13. (2x³ – 10x² – 71x – 9) + (x – 9) (2x3-10x²-71x-9) +(x-4) A polynomial f(x) and a factor of f(x) are given. Factor the polynomial completely using synthetic division. Show work, 14. f(x) = 3x³ + 8x² + 3x – 2; (x + 2) 15. f(x) = x³ - 4x2 – 11x + 30; (x – 2) %3D %3D

Use the Remainder Theorem to find the remainder of each polynomial division. Then determine if the divisor is a factor of the polynomial. 10. (x² + 9) ÷ (x – 3) 11. (x - 4x + 6) + (x+ 3) 12. (x* + 4x³ + 16x – 35) + (x + 5) (xt+Hx3+lox-35) + Lx+s) 13. (2x³ – 10x² – 71x – 9) + (x – 9) (2x3-10x²-71x-9) +(x-4) A polynomial f(x) and a factor of f(x) are given. Factor the polynomial completely using synthetic division. Show work, 14. f(x) = 3x³ + 8x² + 3x – 2; (x + 2) 15. f(x) = x³ - 4x2 – 11x + 30; (x – 2) %3D %3D

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.3: The Remainder And Factor Theorems; Synthetic Division
Problem 33E
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Please answer #11, #12, #13 thx!
OKonkuo Practice Worksheet: Synthetic Division 1. Based on the work provided, write the dividend as a 2. Based on the work provided, write the quotient as a polynomial in standard form. 3. Based on the work provided, write the dividend as a product of two factors. polynomial in standard form. -10 0 -5 -2 1 2 1 6. - 1 -2 -2 0 -2 -6 12 8 32 -1 3 2 8 27 10 1 3 -2 () 4. Fill in the missing values to complete the synthetic 5. Fill in the missing values to complete the synthetic division. division. 10 -4 て -4 6. 3 -3 0. - 1 -2 Find the quotient using synthetic division. You must show your work to get credit. (2x3 + 4x² – 3x – 6) ÷ (x + 3) 7. (x3-6x2 +9) ÷ (x – 4) 8. (4x3 + 27x2 + 3x + 64) ÷ (x+ 7) 9. (x*- 16x2 – 40x – 25) ÷ (x – 5) (サーlox-40x-25)を (x) 2.
Transcribed Image Text:OKonkuo Practice Worksheet: Synthetic Division 1. Based on the work provided, write the dividend as a 2. Based on the work provided, write the quotient as a polynomial in standard form. 3. Based on the work provided, write the dividend as a product of two factors. polynomial in standard form. -10 0 -5 -2 1 2 1 6. - 1 -2 -2 0 -2 -6 12 8 32 -1 3 2 8 27 10 1 3 -2 () 4. Fill in the missing values to complete the synthetic 5. Fill in the missing values to complete the synthetic division. division. 10 -4 て -4 6. 3 -3 0. - 1 -2 Find the quotient using synthetic division. You must show your work to get credit. (2x3 + 4x² – 3x – 6) ÷ (x + 3) 7. (x3-6x2 +9) ÷ (x – 4) 8. (4x3 + 27x2 + 3x + 64) ÷ (x+ 7) 9. (x*- 16x2 – 40x – 25) ÷ (x – 5) (サーlox-40x-25)を (x) 2.
Use the Remainder Theorem to find the remainder of each polynomial division, Then determine if the divisor is a factor of the polynomial. 10. (x² + 9) + (x – 3) 11. (x³ – 4x + 6) + (x + 3) 12. (x* + 4x³ + 16x – 35) + (x + 5) 13. (2x³ – 10x² – 71x – 9) → (x – 9) (xt+Ax3+lox-35) - Lx+s) (2x3-10x-71x-8) (x-4) A polynomial f(x) and a factor of f (x) are given. Factor the polynomial completely using synthetic division. Show work. 14. f(x) = 3x3 + 8x² + 3x – 2; (x + 2) 15. f(x) = x³ – 4x² – 11x + 30; (x – 2) 16. f(x) = 8x* – 24x³ – x + 3; (x – 3) 17. f(x) = 9x³+ 36x² – 4x – 16; (x + 4)
Transcribed Image Text:Use the Remainder Theorem to find the remainder of each polynomial division, Then determine if the divisor is a factor of the polynomial. 10. (x² + 9) + (x – 3) 11. (x³ – 4x + 6) + (x + 3) 12. (x* + 4x³ + 16x – 35) + (x + 5) 13. (2x³ – 10x² – 71x – 9) → (x – 9) (xt+Ax3+lox-35) - Lx+s) (2x3-10x-71x-8) (x-4) A polynomial f(x) and a factor of f (x) are given. Factor the polynomial completely using synthetic division. Show work. 14. f(x) = 3x3 + 8x² + 3x – 2; (x + 2) 15. f(x) = x³ – 4x² – 11x + 30; (x – 2) 16. f(x) = 8x* – 24x³ – x + 3; (x – 3) 17. f(x) = 9x³+ 36x² – 4x – 16; (x + 4)
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