The polynomial 2x 3 + ax 2 + bx + c is denoted by f(x). The roots

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The polynomial 2x³ + ax² + bx + c is denoted by f(x). The roots of f(x) = 0 are −1, 2 and k. When f(x) is divided by x − 1, the remainder is 6.
a. Find the value of k.
b. Find the remainder when f(x) is divided by x + 2.

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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 2x 3 + ax 2 + bx + c is denoted by f(x). The roots

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a If the roots of fx are 1 2 and k then we can write fx as fx 2x1x2xk Expanding the righthand side u...View the full answer

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

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