Algebra 1 Factoring (GCF and Leading Coefficient of 1 only)

Multiplying Polynomials

100

(x+10)3x

3x²+30x

200

-2x³(5x²+3x-6)

-10x⁵-6x⁴+12x³

300

(6y-7)(2y+3)

12y²+4y-21

400

(2x-3)(4x²+x-6)

8x³-10x²-15x+18

500

6(x+6)(x-4)

6x²+12x-144

Factoring out a GCF

100

5d³+10d

5d(d²+2)

200

8x²-12x

4x(2x-3)

300

10x²+5x

5x(2x+1)

400

7g²k³-35g⁵k²

7g²k²(k-5g³)

500

9m¹²-36m⁷+81m⁵

9m⁵(m⁷-4m²+9)

Factoring Trinomials

100

x²+8x+15

(x+3)(x+5)

200

x²-11x+18

(x-2)(x-9)

300

p²+3p-40

(p+8)(p-5)

400

k²-3k-18

(k-6)(k+3)

500

x²+12xy+35y²

(x+7y)(x+5y)

Factoring Special Cases

100

x²+8x+16

(x+4)²

200

x²-64

(x+8)(x-8)

300

m²-24m+144

(m-12)²

400

3c²-75

3(c+5)(c-5)

500

36v²-25w²

(6v-5w)(6v+5w)

Anything

100

2v²-12v+10

2(v-1)(v-5)

200

(x+7)²

x²+14x+49

300

10x²-40

10(x+2)(x-2)

400

(x²-5)(x²+5)

x⁴-25

500

7h²-56h+112

7(h-4)²