The polynomial x 3 + ax 2 + bx + 2, where a and b are constants,

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The polynomial x³ + ax² + bx + 2, where a and b are constants, 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 21.

a. Find the value of a and the value of b.

b. Solve the equation f(x) = 0, giving the roots in exact form.

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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 + ax 2 + bx + 2, where a and b are constants,

Question:

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a Since x 2 is a factor of fx we know that f2 0 Substituting x 2 into fx gives 23 a22 b...View the full answer

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

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