The polynomial x 4 48x 2 21x 2 is denoted by f(x). a. Find
Question:
The polynomial x4 − 48x2 − 21x − 2 is denoted by f(x).
a. Find the value of the constant k for which f(x) = (x2 + kx + 2)(x2 − kx − 1).
b. Hence solve the equation f(x) = 0. Give your answers in exact form.
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a We can expand the righthand side of the equation fx x2 kx 2x2 kx 1 to get fx x4 k2x2 2x2 2kx3 2x3 2kx 2x2 k2x 2x 2 Simplifying this expression and 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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