The polynomial 2x 4 + 3x 3 12x 2 7x + a is denoted by

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The polynomial 2x⁴ + 3x³ − 12x² − 7x + a is denoted by p(x).
a. Given that (2x − 1) is a factor of p(x), find the value of a.
b. When a has this value, verify that (x + 3) is also a factor of p(x) and hence 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 06:50 AM

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The polynomial 2x 4 + 3x 3 12x 2 7x + a is denoted by

Question:

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a If 2x 1 is a factor of px then we know that there exists some polynomial q...View the full answer

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

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