Big Ideas Math - Algebra 1, A Common Core Curriculum

Published by Big Ideas Learning LLC
ISBN 10: 978-1-60840-838-2
ISBN 13: 978-1-60840-838-2

Chapter 7 - Polynomial Equations and Factoring - 7.7 - Factoring Special Products - Exercises - Page 401: 30

Answer

$s=-10$.

Work Step by Step

The given polynomial is $\Rightarrow s^2+20s+100=0$ Write the the polynomial as $a^2+2ab+b^2$. $\Rightarrow s^2+2(s)(10)+10^2=0$. Use perfect square trinomial pattern $a^2+2ab+b^2=(a+b)^2$. We have $a=s$ and $b=10$. $\Rightarrow (s+10)^2=0$. Use zero product property. $\Rightarrow s+10=0$. Solve for $s$. $\Rightarrow s=-10$. Hence, the solution is $s=-10$.
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