Factoring Review

GCF

100

Find the GCF

24x + 36

GCF: 12

200

Find the GCF

4x² + 2x + 6

GCF: 2

300

Find the GCF 

x² + 3x

GCF: x

400

Find the GCF:

4n³ + 6n⁸ + 10n⁵

GCF: 2n³

500

Find the GCF

9m¹² -36m⁷ + 81m⁵

GCF: 9m⁵

Factor

100

Factor the polynomial

5w + 45

5(w+9)

200

Factor the polynomial

m² - 6m⁵

m²(1 - 6m³)

300

Factor the polynomial

2x² + 14x + 20

2(x² + 7x + 10)

400

Factor the polynomial

10x⁵y² + 14x² + 22x⁵z - 18x⁸z

2x²(5x³y² + 7 + 11x³z - 9x⁶z)

500

Factor the polynomial

36x⁶y⁴b² + 24x³yb⁶ + 18x⁸y⁹b⁵

6x³yb²(6x³y³ + 4b⁴ + 3x⁵y⁸b³)

Grouping

100

5x³ - 5x² +6x - 6

5x²(x - 1) +6(x - 1)

(x -1) (5x² + 6)

200

20n³ + 12n² + 25n + 15

4n²(5n+3) +5(5n+3)

(5n+3) (4n²+5)

300

3xy² + xy - 12x - 4y

xy(3y + 1) -4(3x + 1)

NOT FACTORABLE

400

a³ - 2a² +5a - 10

a²(a - 2) +5(a - 2)

(a - 2) (a² + 5)

500

3xy + 21x - 2y - 14

3x(y + 7) -2(y + 7)

(y + 7) (3x - 2) 

Squares

100

x² - 4

(x + 2) (x - 2)

200

4x² - 121

(2x + 11) (2x - 11)

300

4m² - 64m⁴

(2m - 8m²) (2m + 8m²)

400

16n² - 81y²

(4n + 9y) (4n - 9)

500

36x⁴y² - 144x⁹y¹⁶

(6x²y + 12x³y⁴) (6x²y - 12x³y⁴)

Trinomials

100

x² + 8x + 7

(x + 7) (x +1)

200

x² + 12x + 32

(x + 8) (x + 4)

300

4a² + 4a + 1

4a² + 2a + 2a + 1

2a(2a + 1) +1(2a + 1)

(2a + 1) (2a + 1) 

400

2x² - x - 15

2x² - 6x +5x - 15

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

(2x + 5) (x - 3)

500

3x² -24x + 45

3(x² - 8x + 15)

3(x² - 5x - 3x + 15)

3(x(x - 5) - 3(x - 5))

3(x - 5)(x - 3)