## Algebra 1

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