A function f is such that f(x) = ax³ + bx² + 3x + 4. When f(x) is divided by x-1, the remainder is 3. When f(x) is divided by 2x+ 1, the remainder is 6. Find the value of a and of b. 2.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 3E
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PAPER 1
5. FACTORS OF POLYNOMIALS
page 9
N2008
2
A function f is such that f(x) = ax + bx² + 3x + 4. When f(x) is divided by x-1, the remainder
is 3. When f(x) is divided by 2x + 1, the remainder is 6. Find the value of a and of b.
Transcribed Image Text:PAPER 1 5. FACTORS OF POLYNOMIALS page 9 N2008 2 A function f is such that f(x) = ax + bx² + 3x + 4. When f(x) is divided by x-1, the remainder is 3. When f(x) is divided by 2x + 1, the remainder is 6. Find the value of a and of b.
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