FACTORING

DOTS/Trinomial

100

x²+8x+12

(x+6)(x+2)

200

m²-11m+18

(m-9)(m-2)

300

 16y¹⁶-x¹²

(2y⁴-x³)(2y⁴+x³)(4y⁸+x⁶)

400

a¹⁴b²-169x⁶

(a⁷b-13x³)(a⁷b+13x³)

500

x²+32x-144

(x+36)(x-4)

Factor Completely

100

2x²+14x-60

2(x+10)(x-3)

200

x²+16x+64

(x+8)²

300

x¹²-z⁸

(x³-z²)(x³+z²)(x⁶+ z⁴)

400

4m³-36m²+56m

4m(m-2)(m-7)

500

80x¹⁶-5y⁴

5(4x⁸+y²)(2x⁴-y)(2x⁴+y)

Identify the GCF

100

10x and 35x⁴

5x

200

30xy³, 66x²y², and 3x³y⁶

3xy²

300

24a²bc³, 4ab⁴c², and 12a³c⁵

4ac²

400

3d²f⁴g⁷, 18d⁴f²g⁴, and 39d⁵fg²

d²fg²

500

100x²yz⁷, 250x³y²z¹⁰, and 10x⁴y³z⁶

10x²yz⁶

Factor by GCF

100

14n²+10n

2n(7n+5)

200

 18x³+2x

2x(9x²+1)

300

8-4a²

4(2-a²)

400

 4x⁴+16x³-8x²

4x²(x²+4x-2)

500

24a²bc³+4ab⁴c²-12a³c⁵

4ac²(6abc+b⁴-3a²c³)

Binomials

100

2x - 4

2(x - 2)

200

5x + 30

5(x + 6)

300

x²-16

(x + 4)(x - 4)

400

4x² -25

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

500

3x² -12

3(x + 2)(x - 2)