College Algebra (11th Edition)

Published by Pearson
ISBN 10: 0321671791
ISBN 13: 978-0-32167-179-0

Chapter R - Section R.4 - Factoring Polynomials - R.4 Exercises - Page 40: 112



Work Step by Step

$\bf{\text{Solution Outline:}}$ Use the concepts of the square of a binomial to find the missing term. $\bf{\text{Solution Details:}}$ Using the square of a binomial which is given by $(a+b)^2=a^2+2ab+b^2$ or by $(a-b)^2=a^2-2ab+b^2,$ then the middle term of a perfect square trinomial is equal to half the product of the square roots of the first and third terms (can be positive or negative). Hence, the missing term of the given perfect square trinomial, $ 9p^2+bp+25 ,$ is \begin{array}{l}\require{cancel} b=\pm2(\sqrt{9})(\sqrt{25}) \\\\ b=\pm2(3)(5) \\\\ b=\pm30 .\end{array}
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.