REVIEW ON FACTORING

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:2x²+12x+18

2(x+3)(x+3)

Factoring trinomials when a>1

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: 5+5x

5(1+x)

300

Factor: 6y²+30x

6(y²+5x)

400

Factor: 4ab²-12a²b

4ab(b-3a)

500

12v⁴u+10v⁶

2v⁴(6u+5v²)

Factoring he 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

196x²-25y²

(14x+5y)(14x-5y)

500

x²+100

Prime! (non-factorable) 

Factor completely

100

Factor completely: 3k²-6k-105

3(k+5)(k-7)

200

Factor completely: 36x²-4v²

4(3u+v)(3u-v)

300

Factor completely: y³-81y

y(y+9)(y-9)

400

Factor completely: 2x³+14x²-60x

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

500

Factor completely: 80-5d²

5(4+d)(4-d)