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: y⁴-7y²-18

(y² - 9)(y² + 2) = (y - 3)(y + 3)(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+12y+9

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

500

Factor: 6x² - 11x +4

(2x - 1)(3x - 4)

Factor using the GCF

100

Factor 3x²-12x

3x(x-4)

200

Factor: 3x²+6x

3x(x+2)

300

Factor: 4ab-8

4(ab-2)

400

Factor: 4ab² - 12a²b

4ab(b - 3a)

500

Factor: 3x²y²-2xy

xy(3xy-2)

Factor completely and grouping

100

Factor completely: a²b²-144a²

a²(b+12)(b-12)

200

Factor: 3x³ + 6x² + 5x + 10

(3x² + 5)(x + 2)

300

Factor: x³ - 15x² + 2x - 30

(x² + 2)(x - 15)

400

Factor completely: 2x³+14x²-60x

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

500

Factor completely: 5x³+5x²-10x

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

Factoring the difference of two perfect squares

100

Factor: x²-16

(x+4)(x-4)

200

Factor: x² - 9

(x - 3)(x + 3)

300

25y²-4

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

400

4x²-400

4(x-10)(x+10)

500

x²+100

Can not be factored because of the plus sign.