The polynomial 3x 3 + 2x 2 + ax + b, where a and b are constants,
Question:
The polynomial 3x3 + 2x2 + ax + b, where a and b are constants, is denoted by p(x). It is given that (x − 1) is a factor of p(x), and that when p(x) is divided by (x − 2) the remainder is 10.
i. Find the values of a and b.
ii. When a and b have these values, solve the equation p(x) = 0.
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Step by Step Answer:
i Since x1 is a factor of px we have px x13x2 5x b Expanding px and ...View the full answer
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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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