Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 8 - Test - Page 659: 3

Answer

Constant $=64$. Perfect square trinomial $=x^2-16x+64$. Factor form $=(x-8)^2$.

Work Step by Step

The given expression is in the form of $x^2+bx$, where $b=-16$. Add $\left (\frac{b}{2} \right )^2$ to complete the square. Therefore we add $=\left (\frac{-16}{2} \right )^2$ $=\left (-8 \right )^2$ $=64$ Hence, the perfect square trinomial is $=x^2-16x+64$ Perfect square in the factor form is $=\left (x+\frac{b}{2} \right )^2$ $=(x+\frac{-16}{2})^2$ $=(x-8)^2$
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