The polynomial 2x 3 4x 2 + ax + b, where a and b are constants,
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The polynomial 2x3 − 4x2 + ax + b, where a and b are constants, is denoted by p(x). It is given that when p(x) is divided by (x + 1) the remainder is 4, and that when p(x) is divided by (x − 3) the remainder is 12.
i. Find the values of a and b.
ii. When a and b have these values, find the quotient and remainder when p(x) is divided by (x2 - 2).
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Related Book For
Cambridge International AS & A Level Mathematics Pure Mathematics 2 & 3 Coursebook
ISBN: 9781108407199
1st Edition
Authors: Sue Pemberton, Julianne Hughes, Julian Gilbey
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