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: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter6: Fractions
Section6.7: Polynomial Long Division
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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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