REVIEW ON FACTORING

Factor using the GCF

100

Factor: x⁴-x³

x³ (x-1)

200

Factor: y⁴+2y

y (y³+2)

300

Factor: 4ab²-12a²b

4ab(b-3a)

400

Factor: -9x² - 12x=0

x=0,-4/3

500

Factor:10n³ −9n² +n=0

n=0,1,-1/10

Factoring trinomials when a=1

100

Factor: x²+2x-24

(x+6)(x-4)

200

Factor: x²-5x+6

(x-3)(x-2)

300

Factor: y²-7y-18

(y-9)(y+2)

400

Factor: p²-2p-15=0

p=-3,5

500

Factor: r²+10r+16=0

r=-2,-8

Factoring trinomials when a>1

100

Factor: 2x²-x-6

(x-2)(2x+3)

200

Factor: 4y²+12y+9

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

300

Factor: 5x²-13x+6

(x-2)(5x-3)

400

Factor:3n²-2n-5=0

n=-1,5/3

500

Factor:15x²-27x-6=0

x=2,-1/5

Factor using Special Cases

100

Factor: x²-16

(x+4)(x-4)

200

Factor: 9x²+6x+1

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

300

Factor: 25y²-4k²

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

400

Factor:k²-36=0

k=6,-6

500

Factor:4x²-4x+1

x=1/2

Factor by Grouping

100

Factor: 12xy-28x+15y-35

(4x+5)(3y-7)

200

Factor: mz-5mh²-5zn+25nh²

(m-5n)(z-5h²)

300

Factor: 49xy-7x-63y+9

(7x-9)(7y-1)

400

Factor:28v³ +16v² −21v−12

(4v² − 3)(7v + 4)

500

Factor:56xy−35x+16ry−10r

(7x + 2r)(8y − 5)