REVIEW ON FACTORING

Factor by Grouping

100

Factor: 20b³+5b²-24b-6

(5b²-6)(4b+1)

200

Factor: 18b³+24b²+15b+20

(6b²+5)(3b+4)

300

Factor: 70p³+175p²-98p-245

7(5p²-7)(2p+5)

400

7xy-42x+8y-48

(7x+8)(y-6)

500

6mz-3mh²-14nz+7nh²

(3m-7n)(2z-h²)

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: ax²-bx-ax+b

(x-1)(ax-b)

Factoring the 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

121x²-100

(11x+10)(11x-10)

500

x²+100

Can not be factored because of the plus sign.

Zero Product Property

100

Use the zero product property to solve (5v-8)(7v-5)=0

8/5 and 5/7

200

Solve by factoring: m²-10m+25=0

5

300

Solve by factoring: v²-v-26=-6

5 and -4

400

Solve by factoring: 8x²-96x+280=0

7 and 5

500

Solve by factoring: 6n²+6n-77=-5

3 and -4