Factoring

GCF

100

20x+35

5(4x+7)

200

30-12x

6(5-2x)

300

7x-x²

x(7-x)

400

21x²+70x⁴

7x²(3+10x²)

500

45x³z+9x⁵y³

9x³(5z+x²y³)

DOTS

100

x^2-49

(x+7)(x-7)

200

100-x²

(10+x)(10-x)

300

64-121x²

(8+11x)(8-11x)

400

y⁶-121x²

(y³+11x)(y³-11x)

500

16x⁴-1

(4x²+1)(2x+1)(2x−1)

Trinomial

100

x²-6x-16

(x+2)(x-8)

200

x²+12x+32

(x+4)(x+8)

300

x²+2xy+y²

(x+y)(x+y)

400

3x²+23x+14

(3x+2)(x+7)

500

3x²+8x+5

(3x+5)(x+1)

Sum/Difference of Cubes

100

a³−27v³

(a-3v)(a²+3av+9v²)

200

125+64n³

(5+4n)(25-20n+16n²)

300

27b³+127

(3b+1)(9b²-3b+1)

400

d³+s³

(d+s)(d²-ds+s²)

500

27−8t³

(3−2t)(9+6t+4t²)

Factor Completely

100

-3x²+45x-78

-3(x-13)(x-2)

200

-5x³-30x²+200x

−5x(x−4)(x+10)

300

8x⁴-2

2(2x²+1)

400

27x¹⁰-3

3(3x^5+1)(3x^5-1)

500

1-x⁴

(1+x²)(1+x)(1-x)