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-36

(x-9)(x+4)

500

Factor into two binomials: x²-2x-15

(x-5)(x+3)

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 9x²-9x+2

(3x-2)(3x-1)

400

Factor 3x²+4xy+y²

(x+y)(3x+y)

500

Factor: 6x²-5xy-6y²

(3x+2y)(2x-3y)

Factor using the GCF

100

Factor 3x²-12x

3x(x-4)

200

Factor: 3x²+6x

3x(x+2)

300

Factor: 9x⁴-18x³+27x²

9x²(x²-2x+3)

400

Factor: 4ab²-12a²b

4ab(b-3a)

500

-3x²y⁵z⁴-5xy³z²-9x³y³z³

-xy³z²(3xy²z²+5+9x²z)

Factor completely

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)

Factoring he difference of two perfect squares

100

Factor: x²-16

(x+4)(x-4)

200

Factor: 9-x²

(3+x)(3-x)

300

25y²-4k²

(5y+2k)(5y-2k)

400

(1/4)x²-(49/25)

(1/2x-7/5)(1/2x+7/5)

500

x²+100

Can not be factored.  PRIME