Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 6 - Factoring, Solving Equations, and Problem Solving - 6.3 - Factoring Trinomials of the Form x^2+bx+x - Concept Quiz 6.3 - Page 255: 9



Work Step by Step

Factor the trinomial by looking for the factors of $-63$ whose sum is equal to the middle term's coefficient of $2$. These factors are -7 and 9. This means that the factored form of the trinomial is $(x-7)(x+9)$ Thus, $x^2+2x-73=0 \\(x-7)(x+9)=0$ Equate each factor to 0, and then solve each equation to obtain: $x-7=0 \text{ or } x+9-0 \\x=7 \text{ or } x=-9$ The solution set is $\left\{-9, 7\right\}$. Therefore, the given statement is true.
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.