2) The expression f(x) = 6x3 - 4x2 + ax + b leaves a remainder of 5 when divided by x-1 and a remainder of 1 when divided by x+1. Find the values of a and b Find the factors of f(x). [Hint: Use long division] Hence, solve 6x^3 - 4x^2 + ax +b = 0 (i) (ii) (iii)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.3: Algebraic Expressions
Problem 6E
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2) The expression f(x) = 6x3 - 4x2 + ax + b leaves a remainder of 5 when
divided by x-1 and a remainder of 1 when divided by x+1.
Find the values of a and b
Find the factors of f(x). [Hint: Use long division]
Hence, solve 6x^3 - 4x^2 + ax +b = 0
(i)
(ii)
(iii)
Transcribed Image Text:2) The expression f(x) = 6x3 - 4x2 + ax + b leaves a remainder of 5 when divided by x-1 and a remainder of 1 when divided by x+1. Find the values of a and b Find the factors of f(x). [Hint: Use long division] Hence, solve 6x^3 - 4x^2 + ax +b = 0 (i) (ii) (iii)
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