Introductory Algebra for College Students (7th Edition)

Published by Pearson

Chapter 6 - Section 6.2 - Factoring Trinomials Whose Leading Coefficient is 1 - Exercise Set - Page 437: 87

Answer

If $ax^{2}+bx+c=(x+n)(x+m)$, where n and m are integers, the product of integers n and m is $c$ their sum is $b.$

Work Step by Step

If the trinomial can be factored, it will be in the form $(x+n)(x+m)$, where the product of integers n and m is $c$ their sum is $b.$ So if c is positive, both n and m have the same sign. If c is negative, n and m have different signs.

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