The polynomial p(x) = 2x 3 + 5x 2 + ax + b is exactly divisible by

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The polynomial p(x) = 2x³ + 5x² + ax + b is exactly divisible by 2x + 1 and leaves a remainder of 9 when divided by x + 2.
a. Find the value of a and the value of b.

b. Factorise p(x) completely.

c. Express 120/p(x) in partial fractions.

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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 29, 2023 03:19 AM

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The polynomial p(x) = 2x 3 + 5x 2 + ax + b is exactly divisible by

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a Since px is exactly divisible by 2x 1 then 12 is a root of px Thus we have p12 2123 5122 a12 b 0 S...View the full answer

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

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