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 completely: y⁴-7y³-18y²

y²(y-9)(y+2)

Factoring trinomials when a>1

100

Factor 2x²-14x+98

2(x-7)(x-7)

200

Factor 3x²+3x-60

3(x+5)(x-4)

300

Factor 5x²+50x+105

5(x+3)(x+7)

400

Factor 4y²+48y+80

4(x+10)(x+2)

500

Factor: 4x²-196

4(x+7)(x-7)

Factor using the GCF

100

Factor 3x²-12x

3x(x-4)

200

Factor: w⁴ + 3w³ - w²

w²(w²+3w-1)

300

Factor by GCF: 20 − 35n² − 20n³ 

5(4 - 5n² - 4n³)

400

Factor by GCF: x³y⁴ - x²y⁸

x²y⁴(x - y⁴)

500

Factor by GCF: −3k³ + 15k² − 6k 

-3k (k²+5k-2)

Factoring using DOTS

100

Factor: x²-16

(x+4)(x-4)

200

Factor: 9-x²

(3+x)(3-x)

300

25y²-4k²

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

400

4x²-100

4(x+5)(x-5)

500

x²+64

Can not be factored because of the plus sign.