Name: ___________________________________
Algebra 1
Factoring out Greatest Common Monomial Factor – Solve Means “Set = 0, Factor, Solve”
1. Factor the expressions below completely.
4x2 – 16x5
6x3 – 11x2
27x4 – 12
20x6 – 5x4 – 10x2
32x5y3 – 24x2y
30x8 – 45x
2. Solve each equation below. (Find the zeros of the function.)
8𝑥 2 − 4𝑥 = 0
21𝑥 2 − 12𝑥 = 0
9𝑥 2 + 12𝑥 = 0
10𝑥 = −25𝑥 2
𝑓(𝑥) = 24𝑥 2 + 32𝑥
40𝑥 2 = 20𝑥
Name: ___________________________________
Algebra 1
Factoring x2 + bx + c – Solve Means “Set = 0, Factor, Solve”
1. Factor the expressions below completely.
x2 + 5x + 6
x2 + 9x + 20
-x2 – 7x – 12
x2 – 10x + 16
x2 – 11x + 18
x2 – 12x + 35
x2 + 5x – 14
x2 – 5x – 24
x2 – x – 30
2. Solve each equation below. (Find the zeros of the function.)
𝑓(𝑥) = 𝑥 2 − 8𝑥 − 20
𝑥 2 + 15𝑥 − 16 = 0
𝑥 2 − 13𝑥 + 25 = −11