Answered: (b.) The function, f(x)= ax'-bx² +cx-12…

(b.) The function, f(x)= ax'-bx² +cx-12 , has a remainder 30 when divided by x - 3. If (x-2) and (x+3) are factors of f(x). Find the values of a, b, and c and hence the zeros of f(x).

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section: Chapter Questions

Problem 14T

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Question

(b.) The function, f(x) = ax' -bx² +cx-12 , has a remainder 30 when divided by
x - 3. If (x-2) and (x+3) are factors of f(x). Find the values of a, b, and c and hence the
zeros of f(x).

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