REVIEW 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 into two binomials: 4w² -11w-3

(4w-1)(w+3)

Factoring trinomials when a>1

100

Factor 3x²-10x-8

(3x+2)(x-4)

200

Factor 2x²+8x-10

2(x-1)(x+5)

300

Factor 2x²-x-6

(x-2)(2x+3)

400

Factor 2x²+10x+12

2(x+3)(x+2)

500

Factor: 4x²-4x-120

(x-6)(x+5)

Factor using the GCF

100

Factor 2x²+18x+36

2(x+3)(x+6)

200

Factor: 5x²-15x-200

5(x-8)(x+5)

300

Factor: 4y²-32y+60

4(y-5)(y-3)

400

Factor: 4p³-12p²-160p

4p(p-8)(p+5)

500

Factor: -x⁵-10x⁴-21x³

-x³(x+7)(x+3)

Factor completely

100

Factor completely: x²-6x+5

(x-5)(x-1)

200

Factor completely: 5x³-20x²-60x

5x(x-6)(x+2)

300

Factor completely: 4x²-4x-120

4(x-6)(x+5)

400

Factor completely: x⁴-12x²+36

(x²-6)(x²-6)

500

Factor completely: 4w²-11w-3

(4w+1)(w-3)

Factoring he difference of two perfect squares

100

Factor: 4x³-49x

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

200

Factor: 16x²-36

4(2x+3)(2x-3)

300

Factor: 49x²-36

(7x-6)(7x+6)

400

Factor: 18x²-50

2(3x-5)(3x+5)

500

Factor: x⁴-16

(x-2)(x+2)(x²+4)