Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 10 - Exponents and Radicals - 10.8 The Complex Numbers - 10.8 Exercise Set: 101

Answer

$(x+9)(x-7)$

Work Step by Step

The given expression, $ 2x-63+x^2 ,$ is equivalent to $ x^2+2x-63.$ Using the factoring of trinomials in the form $x^2+bx+c,$ the value of $c$ is $ -63 $ and the value of $b$ is $ 2 .$ The two numbers that have a product of $c$ and a sum of $b$ are $ \{9,-7\} .$ Hence, the factored form of the expression above is \begin{array}{l}\require{cancel} (x+9)(x-7) .\end{array}
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