FACTORING REVIEW

Factoring trinomials when a=1

100

Factor into two binomials:

 x²+10x+25

(x+5)(x+5)

200

Factor into two binomials: 

x²-12x+27

(x-9)(x-3)

300

Factor into two binomials:

 x²+2x-24

(x+6)(x-4)

400

Factor into two binomials: 

x²-5x+6

(x-3)(x-2)

500

Factor into two binomials: 

y²-7y-18

(y-9)(y+2)

Factoring trinomials when a>1 and Factor by Grouping

100

Factor 2x²-7x+6

(2x-3)(x-2)

200

Factor 9x²+6x+1

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

300

Factor 2x²-x-6

(x-2)(2x+3)

400

Factor 4y²+12y+9

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

500

Factor: ax²-bx-ax+b

(x-1)(ax-b)

Factor using the GCF

100

Factor 3x²-12x

3x(x-4)

200

Factor: x³-x²

x²(x-1)

300

Factor: 4y²+2y+8xy

2y(2y+1+4x)

400

Factor: 4ab²-12a²b+8ab

4ab(b-3a+2)

500

14x⁶y³-21x⁴y²+7x⁸y⁷

7x⁴y²(2x²y-3+x⁴y⁵)

Factor completely

100

Factor completely: a²b²-144a²

a²(b+12)(b-12)

200

Factor completely: 9y²-81

9(y+3)(y-3)

300

Factor completely: 3x²+9x-30

3(x+5)(x-2)

400

Factor completely: 80-5d²

5(4+d)(4-d)

500

Factor completely: 2x³+14x²-60x

2x(x+10)(x-3)

Factoring the difference of two perfect squares

100

Factor: x²-16

(x+4)(x-4)

200

Factor: 9-x²

(3+x)(3-x)

300

25y²-4k²

(5y+2k)(5y-2k)

400

49x⁴-16

(7x²+4)(7x²-4)

500

x²+100

Can not be factored because of the plus sign.