WorksheetsAlg 2 GCF
Total questions: 33
Worksheet time: 3hrs 45mins
What is the greatest common factor of 8x2 and 4x?
8x2
4x2
2x
4x
What is the greatest common factor of 18xy3 and 25x3y2?
xy2
x3y2
1
x2y3
Factor:
2n2-8n3
2n2(n-4n2)
2n2(1-4n1)
2n3(10-8n2)
3n(1-4n)
18a2-15a
12x + 9
2x + 4
2(x + 2)
2(x + 4)
4(x + 4)
4(x + 2)
15x4 + 20x3 - 25x
5x2(3x2 + 4x - 5)
5x(3x3 + 4x2 - 5x)
5x(3x3 + 4x2 - 5)
5(3x4 + 4x3 - 5x)
6x2y - 18xy2
6(x - 3y)
6xy(x - 3y)
6xy2(x - 3)
6x2y(3y - 1)
24x2 + 30
6(4x2 + 5)
6x(4x + 5)
2(12x2 + 15)
2x(12x + 15)
56a3-8a
2n3+16n+12
10x + 15
x2 - 5x
Factor 7x + 21 using the GCF
7(x+3)
7x + 3
3(x + 7)
x(7 + 3)
Factor the polynomial.
6x2−9x+9
3x(2x−3x+3)
3(2x2+3x+3)
3x(3x2−6x+6)
3(2x2−3x+3)
Factor the following binomial (GCF):
36a2+24a
12a(3a+2)
a(36a+24)
12(3a2+2a)
a2(36+24a)
56a3-8a
Factor completely
18x3 + 81x - 27
9x (2x2 + 9x - 3)
3 (6x3 + 27x - 9)
9 (2x3 + 9x - 3)
9 (2x2 + 9x - 3)
56a3-8a
4b5+4b3+16b2
What is the GCF of 10a2b3 and 20a2b2?
20a2b3
10a2b3
20ab2
10a2b2
Factor
5ab2c11 + 2bc5
bc5(5ab2c6 + 2b)
bc5(5abc6 + 2)
b2c5(5bc6 + 2)
c4(5a2b2c7 + 2bc)
Factor:
80x5-70x2-60x7
2x2(80x3-70-60x6)
10x2(80x4-70x-60x6)
10x2(8x3-7-6x5)
3x2(80x3-40-60x5)
Factor by using GCF:
10x2 + 15x-5
25(10x3+45x-15)
5(2x3 + 3x2-x)
x(10x3+15x-5)
5(2x2+3x-1)
Factor:
56a3-8a
8a2(56a3-8a)
8a(7a2-1)
8a(7a3-a)
8a2(35a2-a)
Factor
12j2k3 - 20hj
4j(3jk3 - 5h)
4j(6jk3 - 10h)
4j(3jk2 - 5h)
4j2(24j2k3 - 20h)
What is the greatest common factor of the three terms in the expression
-96xy - 144x - 84
12x
-12
-12xy
12
Factor the polynomial.
5x+60x4
5x(1+12x3)
5x(12x4)
5x5(x+12)
5x(1+12x4)
Factor the polynomial.
12x5+16x3
4x3(3x5+4x)
2x3(6x2+8)
4x3(3x2+4)
6x(2x4+3x2)
Factor the polynomial.
6x2−9x+9
3x(2x−3x+3)
3(2x2+3x+3)
3x(3x2−6x+6)
3(2x2−3x+3)
