The polynomial 4x 3 + ax 2 + 9x + 9, where a is a constant, is
Question:
The polynomial 4x3 + ax2 + 9x + 9, where a is a constant, is denoted by p(x). It is given that when p(x) is divided by (2x − 1) the remainder is 10.
i. Find the value of a and hence verify that (x − 3) is a factor of p(x).
ii. When a has this value, solve the equation p(x) = 0.
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i To find the value of a we will use the remainder theorem which states that if px is divided by x c ...View the full answer
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Related Book For 
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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