Algebra 2 Common Core

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

Chapter 8 - Rational Functions - Get Ready! - Page 495: 13


$x=4$ and $x=2$

Work Step by Step

Put all terms on the left side. Note than when a term is moved over to the other side of an equation, its sign changes to its opposite. \begin{align*} 3x^2-18x+24&=0\\ \end{align*} Factor out $3$: \begin{align*} 3(x^2-6x+8)&=0 \end{align*} Factor the trinomial: \begin{align*} 3(x-4)(x-2)&=0 \end{align*} Use the Zero-Product Property by equating each factor with a variable to zero, then solve each equation: \begin{align*} x-4&=0 &\text{or}& &x-2=0\\ x&=4 &\text{or}& &x=2 \end{align*}
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