FACTORING POLYNOMIALS

Factoring trinomials

100

Factor completely: x²+8x+12

(x+6)(x+2)

200

Factor completely:     

m²-11m+18

(m-9)(m-2)

300

Factor completely: 

x²+5x-24

(x+8)(x-3)

400

Factor completely:       

y²-6y-7

(y-7)(y+1)

500

Factor completely:     

x²-x-56

(x-8)(x+7)

Factoring Trinomials- harder

100

Factor completely: 2x²+7x+3

(2x+1)(x+3)

200

Factor completely: 5n²+26n+5

(5n+1)(n+5)

300

Factor completely:    

3x²-10x+7

(3x-7)(x-1)

400

Factor completely:    

7x²-36x+5

(7x-1)(x-5)

500

Factor completely:    

2x²-12x+10

2(x-1)(x-5)

Factoring by Difference of 2 Squares

100

Factor completely:     

4x²-9

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

200

Factor completely:

81x²-1

(9x+1)(9x-1)

300

Factor completely:      

4x²-16

(2x+4)(2x-4)

400

Factor completely: 

25x^2- 9

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

500

Factor completely:     

9x²-16y²

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

Factor by GCF

100

Factor completely: 

14n²+10n

2n(7n+5)

200

Factor completely: 

18x³-6x

6x(3x²-1)

300

Factor completely: 

20m²+5m-15

5(4m-3)(m+1)

400

Factor completely: 

x²-18x+81

(x-9)²

500

Factor completely:   

26y-6y²-8

2(y-4)(-3y+1)

Factor by Grouping

100

Factor completely:

x²+2x+4x+8

(x+2)(x+4)

200

Factor completely:    

xy-5x+9y-45

(x+9)(y-5)

300

Factor completely:    

3x³-2x²-6x+4

(x²-2)(3x-2)

400

Factor completely:    

d²+ 2c + cd + 2d

(d + c) (d + 2)

500

Factor completely: 

5y2 - 5y - 30

5 (y - 3) ( y +2 )