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)

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:72 x² +67x + 15

(8x+3)(9x+5)

Factor using the GCF

100

Factor 3x²-12x

3x(x-4)

200

Factor: 3x³ - 9x²

3x² (x-3)

300

Factor: 14x²y + 56x³y²

14x²y (1+4x)

400

Factor: 42ab²-12a²b 

6ab(7b-2a)

500

14m⁴n³ -4m²+ 15n³

Prime

Factor completely

100

Factor completely: 2x²+ 12x + 18

2(x+3)(x+3)

200

Factor completely: 4x²+8x-60

4(x+5)(x-3)

300

Factor completely: x³-2x²-48x

x (x+6)(x-8)

400

Factor completely: 2x³+14x²-60x

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

500

Factor completely: 80-5d²

5(4+d)(4-d)

Factoring he difference of two perfect squares

100

Factor: x²-16

(x+4)(x-4)

200

Factor: 9-x²

(3+x)(3-x)

300

25x²-4

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

400

49x²- 9

(7x+3)(7x-3)

500

x²+100

Cannot be factored because of the plus sign.