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: x²-7x-18

(x²-9)(x²-2)

Factoring trinomials when a>1

100

Factor 2x²-7x+6

(2x-3)(x-2)

200

Factor 9x²+6x+1

(3x+1)²

300

Factor 2x²-x-6

(x-2)(2x+3)

400

Factor 4x²+12x+9

(2x+3)²

500

Factor: 12X² +33X+18

3(X+2)(X+3)

Factor using the GCF

100

Factor 3x²-12x

3x(x-4)

200

Factor: x²-x

x (x-1)

300

Factor: x⁴⁺4x²

x²(X+4)

400

Factor: 3x⁵+15x

3x(x⁴+5)

500

Factor: x⁴-4x²

x²(x-2)(x+2)

Factor by grouping

100

Factor completely: x²-4x+4

(x-2)²

200

Factor completely: 6x²+9x+6

3(x+2)(x+1)

300

Factor completely: 36x²-6x+6x-1

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

400

Factor completely: 7x² -21x -196

7(x+4)(X-7)

500

Factor completely: 15x²-9x-35x+21

(5x-3)(3x-7)

Factoring he difference of two perfect squares

100

Factor: x^2-16

(x+4)(x-4)

200

Factor: 9-x²

(3+x)(3-x)

300

25x²-4y²

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

400

x²+100

 Cannot be factored 

500

 (1/4)x²-(49/25)

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