a. It is given that x + 1 is a common factor of x 3 + px

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a. It is given that x + 1 is a common factor of x³ + px + q and x³ + (1 − p)x² + 19x − 2q. Find the value of p and the value of a.

b. When p and q have these values, factorise x³ + px + q and x³ + (1 − p)x² + 19x − 2q 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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a. It is given that x + 1 is a common factor of x 3 + px

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a Since x1 is a common factor of both x3 px q and x3 1px2 19x 2q we can write x3 px q x1ax2 bx c and ...View the full answer

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

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