Name ___________________________________
Unit 11 – Factoring and Quadratics
HW #95: GCF Factoring
Date ____________
Math 8H
Find the greatest common factor of the given integers.
1) 10; 15
2) 12; 28
3) 18; 24; 36
4) 75; 50; 30
Find the greatest common factor of the given monomials.
5) 4x; 4y
6) 4r; 6r2
7) 10x2; 15xy
8) 36xy2z; -27xy2z2
Factor each expression using the GCF method.
9) 2a + 2b
10) 10x – 15x3
11) 3xc – 9xd
12) 12x – 18y
13) 5y – 625
14) 2x2 + 5x
15) 3x2 – 6x – 30
16) 𝜋r2 + 𝜋rl
17) 6c3d – 12c2d2 + 3cd
18) ay – 4aw – 12a
19) 8x3 + 24x2 – 32x
20) 8x4 – 128x2
23) 20x2y4 + 12x3y2 – 4xy
24) 24x7y4 – 36x5y8
21) 7ab3 – 49a2b2 + 35a3b2 22) 2πr2 + 2πrh
Rewrite the following expressions as the product of 2 binomials by first factoring out a common binomial
factor.
25)
x(x - 9) + 7(x - 9)
26)
x2(2x + 1) - 7(2x + 1)
27)
 x  5 x 1   x  5 2 x  3
28)
 2 x 1 2 x  7    2 x 1 x  3
Review: A cylinder has a radius of 6 inches and a height of 15 inches.
a) What is the surface area to the nearest tenth?
b) What is the volume to the nearest hundredth?