Factoring Review

Factor GCF

100

Find the GCF:

-10n+15n²-20n⁶

5n

200

Find the GCF of the expression

-49r²-49r⁶+28r⁴

7r²

300

Factor the common factor out of each expression.

-10x⁴y³+5x⁴y²+50x³y

5x³y(-2xy²+xy+10)

400

36a⁵b⁹-4a⁴+24a³b

4a³(9a²b⁹-a+6b)

500

5ab⁵-12a⁷b⁹-24

Cannot be factored further

5ab⁵-12a⁷b⁹-24

Factor a=1

100

Factor Completely.

x²-6x-16

(x-8)(x+2)

200

y²+3y-10

(x+5)(x-2)

300

v²+6v+5

(v+1)(v+5)

400

2n²-38n+180

2(n-9)(n-10)

500

6a³+36a²-96a

6a(a+8)(a-2)

Factor a is Prime

100

7m²+65m+18

(7m+2)(m+9)

200

5p²-44p+63

(5p-9)(p-7)

300

2x²-21x+54

(2x-9)(x-6)

400

5x²+14xy-24y²

(5x-6y)(x+4y)

500

28m²+212mn+112n²

4(7m+4n)(m+7n)

Factor a>1

100

9x²+100x+100

(x+10)(9x+10)

200

10m²-11m-8

(2m+1)(5m-8)

300

12n²-31n+20

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

400

-12x²-10xy+2y²

-2(x+y)(6x-y)

500

-54x²-402xy-168y²

-6(x+7y)(9x+4y)

Special Cases

100

x²-16

(x+4)(x-4)

200

v²+6v+9

(v+3)²

300

16r²-121

(4r+11)(4r-11)

400

16m⁴-24m²+9

(4m²-3)²

500

18x⁴y-2xy⁴

2xy(3x²+y²)(3x²-y²)