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 R - Elementary Algebra Review - R.5 Polynomials and Factoring - R.5 Exercise Set: 20

Answer

$(x-5)(x+4)$

Work Step by Step

The given expression is equivalent to \begin{array}{l}\require{cancel} x^2-20-x \\\\= x^2-x-20 .\end{array} The trinomial expression above in the form $ax^2+bx+c,$ has $c$ equal to $ -20 $ and $b$ equal to $ -1 .$ The two numbers whose product is $c$ and whose sum is $b$ are $\{ -5,4 \}.$ Hence, the factored form of the expression above is \begin{array}{l}\require{cancel} (x-5)(x+4) .\end{array}
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