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 16. f(x) = 8x* - 24x3 - x + 3; (x- 3) 17. f(x) = 9x3+36x2-4x- 16; (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 16. f(x) = 8x* - 24x3 - x + 3; (x- 3) 17. f(x) = 9x3+36x2-4x- 16; (x + 4)

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter3: Polynomial And Rational Functions

Section3.3: Dividing Polynomials

Problem 1E: If we divide the polynomial P by the factor xc and we obtain the equation P(x)=(xc)Q(x)+R(x), then...

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Question

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
16. f(x) = 8x* – 24x3 – x + 3; (x – 3)
17. f(x) = 9x³ +36x2- 4x 16; (x + 4)

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