The polynomial x 3 5x 2 + ax + b is denoted by f(x). It is

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The polynomial x³ − 5x² + ax + b is denoted by f(x). It is given that (x + 2) is a factor of f(x) and that when f(x) is divided by (x − 1) the remainder is −6. Find the value of a and the value of b.

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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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Question Posted: Mar 09, 2023 06:52 AM

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The polynomial x 3 5x 2 + ax + b is denoted by f(x). It is

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Step by Step Answer:

Since x 2 is a factor of fx we can write fx x 2 gx where gx is a polynomial of degree 2 To find gx w...View the full answer

Cambridge International AS & A Level Mathematics Pure Mathematics 2 & 3 Coursebook

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