The polynomial f(x) = ax 3 + 7x 2 9x + b is divisible by 2x

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The polynomial f(x) = ax³ + 7x² – 9x + b is divisible by 2x – 1. The remainder when f(x) is divided by x – 2 is 5 times the remainder when f(x) is divided by x + 1.

i. Show that a = 6 and find the value of b.

ii. Using the values from part a, show that f(x) = (2x – 1) (cx² + dx + e), where c, d and e are integers to be found.

iii. Hence factorise f(x) completely.

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Cambridge IGCSE And O Level Additional Mathematics Coursebook

ISBN: 9781108411660

2nd Edition

Authors: Sue Pemberton

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Question Posted: Aug 23, 2021 01:34 AM

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The polynomial f(x) = ax 3 + 7x 2 9x + b is divisible by 2x

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i To find the value of a and b we can use the remainder theorem which states ...View the full answer

Cambridge IGCSE And O Level Additional Mathematics Coursebook

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