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: 9

Answer

True.

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.
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