FACTORING POLYNOMIALS

Factoring Trinomials

100

Factor into two binomials: 

x²+8x+12

(x+6)(x+2)

200

Factor into two binomials: 

m²-11m+18

(m-9)(m-2)

300

Factor into two binomials: 

x²+5x-24

(x+8)(x-3)

400

Factor into two binomials: 

y² - 64

(y - 8)(y + 8)

500

Factor into two binomials: 

100x²y⁴ - 36z⁶

(10xy² - 6z³)(10xy² + 6z³)

Factoring Trinomials- harder

100

Factor into two binomials: 

2x²+7x+3

(2x+1)(x+3)

200

Factor into two binomials: 

5n²+26n+5

(5n+1)(n+5)

300

Factor into two binomials: 

3x²-10x+7

(3x-7)(x-1)

400

Factor into two binomials: 

7x²-36x+5

(7x-1)(x-5)

500

Factor into two binomials: 

2x²-12x+10

(2x-2)(x-5)

Factor by Grouping

100

Factor by grouping:

x³ + 4x² + x + 4

(x + 4)(x² + 1)

200

Factor by grouping:

3x³ - x² + 6x - 2

(3x - 1)(x² + 3)

300

Factor by grouping:

18x³ + 9x² + 2x + 1

(2x + 1)(9x² + 1)

400

Factor by grouping:

x³ + x² + x + 1

(x² + 1)(x + 1)

500

Factor by grouping:

x⁵ + x⁴ + x +1

(x⁴ + 1)(x + 1)

Factor out GCF

100

Factor out the GCF: 

14n²+10n

2n(7n+5)

200

Factor out the GCF: 

18x³-6x

6x(3x²-1)

300

Factor out the GCF: 

8-4a²

4(2-a²)

400

Factor out the GCF: 

4x⁴+16x³-8x²

4x²(x²+4x-2)

500

Factor out the GCF: 

10a³b⁴-6a²b⁶

2a²b⁴(5a³-3b²)

Miscellaneous Factoring

100

Factor completely:

x⁴ + 2x³ - 3x²

x²(x - 1)(x + 3)

200

Factor completely:

x⁴y³ - x²y⁵

x²y³(x - y)(x + y)

300

Factor completely:

y³ - 3y² - 4y +12

(y - 2)(y + 2)(y - 3)

400

Factor completely:

3x³ - x² - 12x + 4

(x - 2)(x + 2)(3x - 1)

500

Factor completely:

x²(x² - 1) - 9(x² - 1)

(x - 1)(x + 1)(x - 3)(x + 3)