Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 6 - Section 6.5 - Integrated Review - Choosing a Factoring Strategy - Page 450: 26

Answer

not factorable

Work Step by Step

$a^2+a-3$ There are an infinite number of pairs whose sum is 1. However, there are only two pairs of numbers whose product is $-3$: $1$ and $-3$, and $-1$ and $3$. $1-3=-2$ $-1+3=2$ Neither pair of numbers has a sum of 1, so this polynomial cannot be factored using just integers.
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