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: 2x²-2x-180

2(x-10)(x+9)

Factoring trinomials when a>1

100

-3x²+21x+18

-3(x+6)(x+1)

200

Factor 2x²-7x+6

(2x-3)(x-2)

300

Factor 9x²+6x+1

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

400

Factor 2x²-x-6

(x-2)(2x+3)

500

Factor 4y²+12y+9

 (2y+3)(2y+3)

Factor using the GCF

100

Factor 3x²-12x

3x(x-4)

200

5x³-5x

5x(x²-1)

300

5x²⁰-10x¹⁰

5x¹⁰(x¹⁰-2)

400

Factor: 4ab²-12a²b

4ab(b-3a)

500

15m⁵n³-3m⁷n²

3m⁵n²(5n-m²)

Factor completely

100

Factor completely: a²-144

(a-12)(a+12)

200

Factor completely: 100-x²

(10-x)(10+x)

300

Factor completely: y⁴-81

(y²+9)(y²-9)

400

Factor completely: 2x³+14x²-60x

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

500

Factor completely: 5d²-80

5(d+4)(d-4)

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

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

500

x²+100

Can not be factored because of the plus sign.