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:

 x²-5xy+6y²

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

500

Factor into two binomials: 

y⁴-7y²-18

(y²-9)(y²-2)

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 2x²-x-6

(x-2)(2x+3)

400

Factor 4y²-8y-27

(2y+3)(2y-7)

500

Factor: ax²-bx-ax+b

(x-1)(ax-b)

Factor using the GCF

100

Factor 3x²-12x

3x(x-4)

200

Factor: 6x³y - 3x⁵y²

3x³y(2-x²y) 

300

Factor: -y²+2y⁷

-y²(1+2y⁵)

400

Factor: 4ab²-12a²b+4ab

4ab(b-3a+1)

500

84x²-60x³+144x

12x(7x-5x²+12)

Factor completely

100

Factor completely: a²b²-144a²

a²(b+12)(b-12)

200

Factor completely: x⁴-625

(x+5)(x-5)(x^2+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 the 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 because of the plus sign.