REVIEW 1 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: y⁴-11y²⁺18

(y+3)(y-3)(y²-2)

Factor using the GCF

100

Factor 3x²-12x

3x(x-4)

200

Factor: 5x³-15x²+30x

5x(x²-3x+6)

300

Factor: y⁷-2y⁶

y⁶(y-2)

400

Factor: 4ab²-12a²

4a(b²-3a)

500

9a⁴b³+15a³b²-3a²b

3a²b(3a²b²+5ab-1)

Multistep Factoring

100

Factor completely: a²b²-144a²

a²(b+12)(b-12)

200

Factor completely: x⁴-625

(x+5)(x-5)(x²+25)

300

Factor completely: y⁴-81

(y²+9)(y+3)(y-3)

400

Factor completely: 2x³+14x²-60x

2x(x+10)(x-3)

500

Factor completely: 80-5d²

5(4+d)(4-d)

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

4x²-49

(2x-7)(2x+7)

500

x²+100

Can not be factored because of the plus sign. AKA Prime

Which method?

100

x²-4 

DOTS

200

x³-2x²-3x

GCF

300

x²+8x+7

Trinomial

400

64x²-49y⁶

DOTS

500

a²bc⁵-4efg+8abc

Prime (Not factorable)