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: 4n² − 15n − 25

(n − 5)(4n + 5)

Factor using the GCF

100

Factor out a GCF: 3x²-12x

3x(x-4)

200

Factor out a GCF: Factor: 2b +24

2(b + 12)

300

Factor out a GCF:  y²+y

y(y + 1)

400

Factor out a GCF: 4b² -12b³+8b

4b (b -3b² + 2)

500

Factor out a GCF: -3k² +6k³ - 27k

3k(-k +2k²-9)

Factor completely

100

Factor completely: 

15n² − 27n − 6

3(5n + 1)(n − 2)

200

Factor completely: 

4x² - 16

4(x+2)(x-2)

300

Factor completely: 

16b² + 60b − 100

4(b + 5)(4b − 5)

400

Factor completely: 

−6a² − 25a − 25

−(2a + 5)(3a + 5)

500

Factor completely: 

80-5d²

5(4+d)(4-d)

Factoring the difference of two perfect squares

100

Factor: x²-16

(x+4)(x-4)

200

Factor: b²-100

(b+10)(b-10)

300

Factor:  y⁴ - 81

(y²+ 9)(y²- 9)

400

Factor: 9p² -4

(3p +2) (3p -2)

500

x²+100

Can not be factored because of the plus sign.