FACTORING POLYNOMIALS

Factor out GCF

100

Factor out GCF: 4x³+8x²+12x

4x(x²+2x+3)

200

Factor out the common factor:

16k^6+16k^5-20k^3+12k^2

4k^2(4k^4+4k^3-5k+3)

300

Factor out the common factor: 

9n^9+72n^6-18n^5

9n^5(n^4+8n-2)

400

Factor out the common factor: 

10n^6-3n^4-2n^3

n^3(10n^3-3n-2)

500

Factor out the common factor: 

42x^4y^5+54x^4+36xy^2+36y^2

6(7x^4y^5+9x^4+6xy^2+6y^2)

Factoring Trinomials- harder

100

Factor: 2x²+7x+3

(2x+1)(x+3)

200

Factor: 5n²+26n+5

(5n+1)(n+5)

300

Factor: 3x²-10x+7

(3x-7)(x-1)

400

Factor: 7x²-36x+5

(7x-1)(x-5)

500

Factor: 2x² +5x-3

(2x-1)(x+3)

Solve by Factor

100

Solve by Factoring: 

3x² - 20x + 32 = 0

x = 4, x = 8/3

200

Solve by Factoring: 

x² +2x+1=0

x = -1

300

Solve by Factoring: 

x² - 81 = 0

x = 9, x = -9

400

Solve by Factoring: 

10x³ - 26x² + 12x = 0

x = 0, x = 3/5, x = 2

500

Solve by Factoring: 

4x² - 400 = 0

x = 10, x = -10

Solve by Factor

100

Solve by Factoring: 

14n²+10n = 0

n = 0, n = -5/7

200

Solve by Factoring: 

2x² + 10 = 12x

x = 1, x = 5

300

Solve by Factoring: 

5a²+3=8

a = 1, a = -1

400

Solve by Factoring: 

4x³ -24x² +32x = 0

x = 0, x = 4, x = 2

500

Solve by Factoring: 

3g² - 18g = 0

g = 0, g = 6

Miscellaneous Factoring & Solving

100

Solve by Factoring: 11x+35=6x²

x = -5/3, x = 7/2

200

Solve by Factoring:

16x³ - 64x = 0

x=0, x = 2, x = -2

300

Solve by Factoring: 

7x² + 50x + 7 =0

x = -7, x = -1/7

400

Solve by Factoring: 

4x² + 25 = 20x

x = 5/2

500

Solve by Factoring: 

4x² -3x + 9 = 12x

x=3, y=3/4