The polynomial x 3 + ax 2 + bx + 2, where a and b are constants,
Question:
The polynomial x3 + ax2 + bx + 2, where a and b are constants, is denoted by f(x). It is given that x − 2 is a factor of f(x), and that when f(x) is divided by x + 1 the remainder is 21.
a. Find the value of a and the value of b.
b. Solve the equation f(x) = 0, giving the roots in exact form.
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a Since x 2 is a factor of fx we know that f2 0 Substituting x 2 into fx gives 23 a22 b...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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