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 - 7.4 - Solving Polynomial Equations in Factored Form - Monitoring Progress - Page 378: 3

Answer

$z=4$ and $z=6$.

Work Step by Step

The given equation is $\Rightarrow (z-4)(z-6)=0$ Use zero-product property rule. $\Rightarrow z-4=0$ or $z-6=0$ Solve for $z$. $\Rightarrow z=4$ or $z=6$ Check:- $z=4$ $\Rightarrow (4-4)(4-6)=0$ $\Rightarrow (0)(-2)=0$ $\Rightarrow 0=0$ True. Check:- $z=6$ $\Rightarrow (6-4)(6-6)=0$ $\Rightarrow 2(0)=0$ $\Rightarrow 0=0$ True. Hence, the solutions are $z=4$ and $z=6$.
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