Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter P - Section P.5 - Factoring Polynomials - Exercise Set: 51

Answer

$(x-7)^2$

Work Step by Step

RECALL: A perfect square trinomial can be factored using either of the following formulas. (i) $a^2+2ab+b^2=(a+b)^2.$ (i) $a^2-2ab+b^2=(a-b)^2.$ The given perfect square trinomial can be written as $x^2-2(x)(7)+7^2.$ Factor using formula (ii) above with $a=x$ and $b=7$ to obtain $(x-7)^2.$
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