Factoring Polynomials by GCF

GCF of 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 8?

8

Binomials (GCF)

100

16p⁴ + 4p³

4p³(4p + 1)

200

9x + 36

9(x + 4)

300

6n³ - 3n⁵

3n³(2 - n²)

400

63x¹² − 35x⁶

7x⁶(9x⁶ - 5)

500

−6r⁵ − 6r⁴

-6r⁴(r + 1)

Mixin' It Up!

100

3x + 9 

3(x + 3)

200

x² + 3x

x(x + 3)

300

-2xy - y

-y(2x + 1)

400

x³(a + b) - 5(a + b) 

(x³ - 5)(a + b)

500

2x²(4x - 3) + 3(4x - 3)

(2x² + 3)(4x - 3)

Trinomials (GCF)

100

14a + 21a² + 21a³

7a(2 + 3a + 3a²)

200

50p³ + 50p² - 20

10(5p³ + 5p² − 2)

300

9x⁶− 63x³ − 90x²

9x²(x⁴ - 7x - 10)

400

6x⁴ - 10x³ + 3x

x²(6x² - 10x + 3)

500

9x⁴y² - 15x³y + 3x²y

3x²y(3x²y - 5x + 1)

Trinomials (Harder)

100

x² + 5x + 6

(x + 2)(x + 3)

200

x² + 7x + 10

(x + 5) (x + 2)

300

x² + 9x + 20

(x + 5) (x + 4)

400

x² - 5x + 6

(x - 3)(x - 2)

500

x² - x - 6

(x - 3) (x - 2)