The polynomial ax 3 13x 2 41x 2a, where a is a constant, is

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The polynomial ax³ − 13x² − 41x − 2a, where a is a constant, is denoted by p(x).

a. Given that (x − 4) is a factor of p(x), find the value of a.

b. When a has this value, factorise p(x) completely.

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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 ax 3 13x 2 41x 2a, where a is a constant, is

Question:

Step by Step Answer:

a If x4 is a factor of px then p4 0 Therefore we have p4 a43 1342 414 2a 0 Simplifyi...View the full answer

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

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