Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 6 - Section 6.2 - Factoring Trinomials Whose Leading Coefficient is 1 - Exercise Set - Page 437: 99


$x^{2}+3x+1$ (sample answer)

Work Step by Step

If the trinomial $x^{2}+bx+c$ 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 $b.$ "Prime" means it has no factorization using integer coefficients. Let c=1. It can be factored if the sum, b, equals 2 or -2. So, select any other integer for b, say 3: $x^{2}+3x+1$ (sample answer)
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