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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.

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.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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