REVIEW ON FACTORING

Factoring trinomials

100

Factor into two binomials: x²+8x+12

(x+6)(x+2)

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: 3x²-10x+7

(3x-7)(x-1)

500

Factor into two binomials: 5x² +26x +5

(5x+1)(x+5)

Factoring perfect squares

100

Factor x²+6x+9

(x+8)²

200

Factor x²+16x+64

(x +8)²

300

Factor x²-10x+25

(x-5)²

400

Factor 16x²-48y+36

(4x -6)²

500

Factor: 9x² +12xy+4y²

(3x+2y)²

Factor using the GCF

100

Factor 3x²-12x

3x(x-4)

200

Factor: 3x+6

3(x+2)

300

Factor: 4ab-8

4(ab-2)

400

Factor: 4ab²-12a²b

4ab(b-3a)

500

Factor: 3x²y²-2xy

xy(3xy-2)

Factor by grouping

100

Factor completely: 6v³-16v²+21v-56

(2v²+7)(34-8)

200

Factor completely: 4v³-12v²-5v+15

(4v²-5)(v-3)

300

Factor completely: m³-m²+2m-2

(m²+2)(m-1)

400

Factor completely: 21xy+15x+35ry+25r

(3x+5r)(7y+5)

500

Factor completely: 12bc-4bd-15xcc+5xd

(4b-5x)(3c-d)

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

4x²-400

4(x-10)(x+10)

500

x²+100

Can not be factored because of the plus sign.