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: x²-5x+6

(x-3)(x-2)

400

Factor into two binomials: x²+2x-24

(x+6)(x-4)

500

Factor into two binomials: y²-7y-18

(y-9)(y-2)

Factoring trinomials when a>1

100

Factor 2x²-7x+6

(2x-3)(x-2)

200

Factor 9x²+6x+1

(3x+1)(3x+1)

300

Factor 4y²+12y+9

(2y+3)(2y+3)

400

Factor 2x²-x-6

(x-2)(2x+3)

500

Factor: ax²-bx-ax+b

(x-1)(ax-b)

Factor using the GCF

100

Factor 3x²-12x

3x(x-4)

200

Factor: 3x²+12x-15

3 (x²+4x-5)

300

Factor: 12x⁷-24x⁴+48x³

12x³(x⁴-2x+4)

400

Factor: 13x²+26x +68

PRIME (or not factorable, NO, etc.)

500

Factor: 3x²y⁵z⁴-21x³z²

3x²z²(y³z²-7x)

Factor completely

100

Factor completely: a²b²-144a²

a²(b+12)(b-12)

200

Factor completely: 2x²-10x+8

2(x-4)(x-1)

300

Factor completely: 2x³+14x²-60x

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

400

Factor completely: y⁴-81

(y²+9)(y+3)(y-3)

500

Factor completely: 80-5d²

5(4+d)(4-d)

Difference of 2 Squares

100

Factor: x²-16

(x+4)(x-4)

200

Factor: 9-x²

(3+x)(3-x)

300

Factor: 4x³-64x

x(2x-8)(2x+8)

400

Factor: 25y²-4x²

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

500

Factor: x²+100

PRIME (not factorable, NO etc.)