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: 

10x²+47x+42

(2x+7)(5x+6)

Factor using the GCF

100

Factor 

3x²-12x

3x(x-4)

200

Factor: 

2x⁴y⁴-20xy⁵

2xy⁴(x³-10y)

300

Factor: 

10x³+2x-18

2(5x³+x-9)

400

Factor: 

-54a³b-60a⁴-54a²b

-6a²(9ab+10a²+9b)

500

Factor: 

-6x⁵y³-20x⁵y²z+18x⁶y³+44x⁹y²

2x⁵y²(-3y-10z+9xy+2x⁴)

Factor completely

100

Factor completely: 

4x²+48x+108

4(x+9)(x+3)

200

Factor completely: 

75x²-48

3(5n+4)(5n-4)

300

Factor completely: 

21x²+111x-90

3(7x-5)(x+6)

400

Factor completely: 

30a²+81a+15

3(5a+1)(2a+5)

500

Factor completely: 

126x³-144x²+210x-240

6(3x²+5)(7x-8)

Factoring the difference of two perfect squares

100

Factor: x²-16

(x+4)(x-4)

200

Factor: 

9-x²

(3+x)(3-x)

300

Factor: 

25y²-4k²

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

400

Factor: 

(1/4)x²-(49/25)

(1/2x-7/5)(1/2x+7/5)

500

Factor: 

x²+100

Can not be factored because of the plus sign.