Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 5 - Polynomials and Polynomial Functions - 5-3 Solving Polynomial Equations - Practice and Problem-Solving Exercises - Page 302: 72

Answer

$-\dfrac{1}{5}$.

Work Step by Step

Substitute $1$ for $x$ and $-2$ for $y$ in the expression: $=\frac{2(1 + 5)(-2)}{10(1 - 4)(-2 - 2)}$ Follow order of operations and simplify what is in parentheses first: $=\dfrac{2(6)(-2)}{10(-3)(-4)}$ Multiply from left to right, according to order of operations: $=\dfrac{(12)(-2)}{(-30)(-4)}$ Multiply once again in both numerator and denominator: $=\dfrac{-24}{120}$ Divide both numerator and denominator by $24$ to simplify this fraction: $=-\dfrac{1}{5}$.
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