Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 10 - Radical Expressions and Equations - Get Ready: 9

Answer

$-2h^{2}+5h+12$

Work Step by Step

Two ways to solve, using the Distributive Property and FOIL: Distributive Property: 1) Distribute the second factor ($4-h$) to both the "$2h$" term and the "3" term. Make sure you keep track of addition and subtraction signs. $ 2h(4-h) + 3(4-h) $ 2) Distribute the $2h$ to both terms inside the parentheses and the 3 to both terms inside the parentheses. $8h - 2h^{2} + 12 - 3h$ 3) Combine like terms and order from highest degree to lowest degree. $ - 2h^{2} + 5h + 12$ FOIL: $(2h+3)(4-h)$ First + Outer + Inner + Last = $8h - 2h^{2} + 12 - 3h$ = $-2h^{2} +5h + 12 $ Combine like terms and order from highest degree to lowest degree.
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