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 - Exercises - Page 381: 4

Answer

$r=0$ and $r=10$.

Work Step by Step

The given equation is $\Rightarrow r(r-10)=0$ Use zero-product property rule. $\Rightarrow r=0$ or $r-10=0$ Solve for $r$. $\Rightarrow r=0$ or $r=10$ Check:- $r=0$ $\Rightarrow 0(0-10)=0$ $\Rightarrow 0(-10)=0$ $\Rightarrow 0=0$ True. Check:- $r=10$ $\Rightarrow 10(10-10)=0$ $\Rightarrow 10(0)=0$ $\Rightarrow 0=0$ True. Hence, the solutions are $r=0$ and $r=10$.
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