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 24?

24

Factor by GCF Binomials

100

Factor by GCF:

16p⁴ + 4p³

4p³(4p + 1)

200

Factor by GCF:

9x + 36

9(x + 4)

300

Factor by GCF:

6n³ - 3n⁵

3n³(2 - n²)

400

Factor by GCF:

63x¹² − 35x⁶

7x⁶(9x⁶ - 5)

500

Factor by GCF: 

45b + 63 

9(5b + 7)

Mixed Factoring

100

Factor the Trinomial:

m² - 5m + 4

(m - 4)(m -1)

200

Factor by GCF:

32n³ + 28n -20

4(8n³ + 7n - 5)

300

Factor by GCF:

40x² + 72x + 64

8(5x² +9x +8)

400

Factor the Trinomial:

b² + 17b + 52

(b + 4)(b + 13)

500

Factor the Trinomial:

x² + 7xy - 30y²

(x + 10y)(x - 3y)

Factor by GCFTrinomials

100

Factor by GCF:

14a + 21a² + 21a³

7a(2 + 3a + 3a²)

200

Factor by GCF:

50p³ + 50p² - 20

10(5p³ + 5p² − 2)

300

Factor by GCF:

9x⁶− 63x³ − 90x²

9x²(x⁴ - 7x - 10)

400

Factor by GCF:

10n³ - 9n² + n

n(10n² - 9n + 1)

500

Factor by GCF:

9x⁴y² - 15x³y + 3x²y

3x²y(3x²y - 5x + 1)

Factor Trinomials

100

Factor the Trinomial:

x² -12x+27

(x - 9)(x - 3)

200

Factor the Trinomial:

x² - 13x+22

(x - 2)(x -11)

300

Factor the Trinomial:

x² +5x - 66

(x + 11)(x - 6)

400

Factor the Trinomial:

z² - 3z - 40

(z + 5)(z - 8)

500

Factor the Trinomial:

x² + 4x - 60

(x + 10)(x - 6)