Factoring Polynomials by GCF and Factor by Grouping

GCF (Numbers)

100

What is the greatest common factor of 10 and 5?

5

200

What is the greatest common factor of 4 and 30?

2

300

What is the greatest common factor of 12 and 5?

1

400

What is the greatest common factor of 50 and 120?

10

500

What is the greatest common factor of 120 and 24 and 36?

12

GCF (Monomials)

100

What is the GCF of 9x and 36y

9

200

What is the GCF of 16p⁴ and 4p³

4p³

300

What is the GCF of 63x¹² and  -35x⁶

7x⁶

400

What is the GCF of -18n²q  ,   -15nq⁷  and  -12n³q

-3nq

500

What is the GCF of 6m⁶n³ ,  3m⁴n⁵   and  12n²

3n²

Factor by GCF

100

3m² + 27m

3m(m + 9)

200

40x² + 72x + 64

8(5x² +9x +8)

300

-28v² - 8v - 36v³

-4v(7v + 2 + 9v²)

400

-8x⁷ + 24x⁵ + 12x⁶

4x⁵(-2x² + 6 + 3x)

500

9x⁴y² - 15x³y + 3x²y - 18x⁵y⁵

3x²y(3x²y - 5x + 1 - 6x³y⁴)

Factor out a Binomial

100

x(x+8) + 3(x+8)

(x+8)(x+3)

200

p(p+12)+5(p+12)

(p+12)(p+5)

300

2a(4a-7) - 3(4a-7)

(4a-7)(2a-3)

400

4x(x-2) + (x-2)

(x-2)(4x+1)

500

15x(x-2) - 4(2-x)

(x-2)(15x+4)

Factor by Grouping

100

x² +3x + 2x + 6

(x+3)(x+2)

200

x² + x + 5x + 5

(x+1)(x+5)

300

7x² - 14x + x - 2

(x-2)(7x+1)

400

6x² + 10x - 9x - 15

(3x+5)(2x-3)

500

12x²+15x-32x-40

(4x+5)(3x-8)