The function f is such that f(x)=4x-&r²+ar+b, where a and b are constants. It is given that 2x-1 is a factor of f(x) and that when f(x) is divided by x + 2 the remainder is 20. Find the remainder when f(x) is divided by x-1.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
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page 18
PAPER 1
5. FACTORS OF POLYNOMIALS
N2011
2
The function f is such that f(x) = 4x³-8x² + ax+b, where a and b are constants. It is given
that 2x-1 is a factor of f(x) and that when f(x) is divided by x + 2 the remainder is 20. Find the
remainder when f(x) is divided by x-1.
Transcribed Image Text:page 18 PAPER 1 5. FACTORS OF POLYNOMIALS N2011 2 The function f is such that f(x) = 4x³-8x² + ax+b, where a and b are constants. It is given that 2x-1 is a factor of f(x) and that when f(x) is divided by x + 2 the remainder is 20. Find the remainder when f(x) is divided by x-1.
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