Factorization of Polynomials

GCF and Grouping

100

Factor 7y²(y-3)-2(y-3)

(y-3)(7y²-2)

200

3v³+5v²+21v+35

(3v+5)(v²+7)

300

²2w³+5w²+6w+15

(2w+5)(w²+3)

400

2u³+7u²+10u+35

(2u+7)(u²+5)

500

2y²+10y-48

2(y-3)(y+8)

Difference of Squares

100

64-25z²

(8+5z)(8-5z)

200

36w²-25v²

(6w+5v)(6w-5v)

300

72u²-50u⁴

2u²(6+5u)(6-5u)

400

72x³y-2xy³

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

500

2w⁴x²-2x²

2x²(w-1)(w+1)(w²+1)

PST and GFC

100

y²+14y+49

(y+7)²

200

9y²+48y+64

(3y+8)²

300

16w²-56wu+49u²

(4w-7u)²

400

12w⁴+40w³-32w²

4w²(w+4)(3w-2)

500

64x²-48xu+9u²

(8x-3u)²

Random

100

Factor y²-6y-16

(y+2)(y-8)

200

Factor 9z²-26z-3

(9z+1)(z-3)

300

-5y²-8y+4

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

400

8v⁷+12v⁶-20v⁵

4v⁵(v-1)(2v+5)

500

Factor 8y³-125

(2y-5)(4y²+10y+25)

Sum and Diff Cubes

100

Factor 27w³-125

(3w-5)(9w²+15w+25)

200

125+8w³

(5+2w)(25-10w+4w²)

300

125-8w³

(5-2w)(25+10w+4w²)

400

8xy³z-27xz

xz(2y-3)(4y²+6y+9)

500

Wonder woman or Black Widow?

Wonder woman :)