REVIEW ON FACTORING

Factoring trinomials when a=1

100

Factor: x²+10x+25

(x+5)(x+5)

200

Factor: x²-12x+27

(x-9)(x-3)

300

Factor AND solve: x²+2x-24

(x+6)(x-4)

x=-6 and x=4

400

Factor AND solve: x²-5x+6

(x-3)(x-2)

zeros: x=3 and x=2

500

Factor: 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 AND solve: 4y²+12y+9

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

x=-3/2

500

Factor AND solve: -5x²-6x+8

-(5x-4)(x+2)

zeros: x=4/5 and x=-2

Factor using the GCF

100

Factor: 3x²-12x

3x(x-4)

200

Factor AND solve: 4x²-10x+6

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

x=1 and x=3/2

300

Factor: 4ab²-12a²b

4ab(b-3a)

400

Factor: -6x²+22x+20

-2(3x²-11x-10)

500

Factor AND solve: -8x³+60x²-28x

-4x(2x-1)(x-7)

x=0, x=1/2, and x=7

Factor completely

100

Factor completely: a²b²-144a²

a²(b+12)(b-12)

200

Factor completely: x²-625

(x+25)(x-25)

300

Factor completely: y²-81

(y+9)(y-9)

400

Factor completely AND solve: 2x³+14x²-60x

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

x=0, x=-10, and x=3

500

Factor completely AND solve: 80-5d²

5(4+d)(4-d) OR -5(d+4)(d-4)

zeros: x=-4 and x=4

Factoring the difference of squares

100

Factor: x²-16

(x+4)(x-4)

200

Factor AND solve: 9-x²

(3+x)(3-x)

x=-3 and x=3

300

Factor: 25y²-4k²

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

400

Factor: x²+100

Can not be factored because of the plus sign.

500

Factor: 1/4x²-25/49

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