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 8 - Graphing Quadratic Functions - 8.5 - Using Intercept Form - Exercises - Page 455: 28

Answer

$6,-6$ and $11$

Work Step by Step

The given function is $\Rightarrow h(x)=(x^2-36)(x-11)$ Substitute $0$ for $h(x)$. $\Rightarrow 0=(x^2-36)(x-11)$ $\Rightarrow 0=(x^2-6^2)(x-11)$ Use difference of two squares pattern. $\Rightarrow 0=(x-6)(x+6)(x-11)$ Use zero product property. $\Rightarrow x-6=0$ or $x+6=0$ or $x-11=0$ Solve for $x$. $\Rightarrow x=6$ or $x=-6$ or $x=11$ Hence, the zeros of the function are $6,-6$ and $11$.
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