Ms. Nolte's Alg 1 Factoring Review

GCF

100

5x+40

5(x+8)

200

12y²+6y

6y(2y+1)

300

4xy²−12xy

4xy(y−3)

400

16x³y−32x²y²

16x²y(x−2y)

500

x¹²y⁴z⁸ −x²y⁶z⁵

x²y⁴z⁵ (x¹⁰z³−y²)

4-Term Polynomials

100

n³+2n²+3n+6

(n²+3)(n+2)

200

x³ +3x²−6x−18

(x+3)(x²−6)

300

3m³−m²+12m−4

(m²+4)(3m−1)

400

6m³−4m²−9m+6

(2m²−3)(3m−2)

500

35x³−15x²y−14xy²+6y³

(5x²−2y²)(7x−3y)

Trinomials

100

x²+10x+25

(x+5)(x+5)

200

x²−12x+27

(x−9)(x−3)

300

x²−15x−54

(x+3)(x−18)

400

3a²−13a+12

(3a−4)(a−3)

500

6x²−31x + 40

(2x−5)(3x−8)

Difference of squares

100

x²−16

(x+4)(x−4)

200

25y²−4

(5x-2)(5x+2)

300

9-x²

(3+x)(3-x)

400

144x² - 49y²

(12x-7y)(12x+7y)

500

4x²−49y⁴

(2x−7y²)(2x+7y²)

Other

100

2x²+14x−60

2(x+10)(x−3)

200

x²+100

Not factorable!

300

98a³+42a²+49a+21

7(2a²+1)(7a+3)

400

6x³+3x²−18x

3x(x+2)(2x−3)

500

5cd²−80c

5c(d+4)(d−4)