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: 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 2x²-x-6

(x-2)(2x+3)

400

Factor 4y²+12y+9

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

500

Factor: 9x²-75x+126

3(3x-7)(x-6)

Factor using the GCF

100

Factor 3x²-12x

3x(x-4)

200

Factor: 2x³+6x²-10x

2x(x²+3x-5)

300

Factor: 14x²+28x-7

7(2x²+4x-1)

400

Factor: x¹⁴-2x¹²+15x⁴

x⁴(x¹⁰-2x⁸+15)

500

16x¹⁰-24x⁷-32x³

8x³(2x⁷-3x⁴-4)

Factor completely

100

Factor completely: 2x²+22x+56

2(x+7)(x+4)

200

Factor completely: 3x²-27

3(x+3)(x-3)

300

Factor completely: 6x³+12x²-144x

6x(x-4)(x+6)

400

Factor completely: 45x²+180x+100

5(3x+10)(3x+2)

500

Factor completely: 24x³+116x²-168x

4x(6x-7)(x+6)

Factoring he difference of two perfect squares

100

Factor: x²-16

(x+4)(x-4)

200

Factor: 9-x²

(3+x)(3-x)

300

25y²-4

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

400

25x²-144

(5x+12)(5x-12)

500

x²+100

Can not be factored because of the plus sign.