Factoring is Fun!

Commons

100

2p^8-12p^5+16p^2 (SG)

2p^2(p^6 - 6p^3 + 8)

200

a^6 + a^5 - 30a^4 (SG)

a^4(a+6)(a-5)

300

5x^5 - 10x^4 - 40x^3 (SG)

5x^3 (x-4)(x+2)

400

2k^4-242k^2

2k^2(k+11)(k-11)

500

2m^6 - 24m^5 + 64m^4

2m^4(m-8)(m+4)

Sums/Diff of Cubes

100

y^3+1000

(y+10)(y^2-10y+100)

200

w^3 - 125

(w-5)(w^2+5w+25)

300

2p^9-16p^6

2p^6(p-2)(p^2+2p+4)

400

8m^3 - 343 (SG)

(2m - 7) (4m^2 + 14m + 49)

500

64r^3 + 729 (SG)

(4r + 9) (16r^2 - 36r + 81)

Slip, Slide, & Away

100

2x^2 + 7x + 3

(2x+1)(x+3)

200

3x^2 - 8x + 4

(3x-2)(x-2)

300

10x^2 + 27x + 18

(5x + 6)(2x+3)

400

9x^2 - 12x + 4

(3x-2)(3x-2)

500

5x^2 - x - 18

(x-2)(5x+9)

Grouping

100

2x^3 + 6x^2 + x + 3

(2x^2 + 1)(x+3)

200

x^3 + x^2 + x + 1 

(x^2 + 1)(x+1)

300

9k^3 - 24k^2 + 3k - 8 (SG)

(3k-8)(3k^2 + 1)

400

z^3 - 7z^2 - 9z + 63 (SG)

(z-7) (z-3) (z+3)

500

9x^3 - 3x^2 - 12x + 4

(3x^2 - 4)(3x-1)

Quads

100

x^4 + 5x^2 + 4

(x^2 + 4)(x^2 + 1)

200

x^4- x^2 - 12

(x-2)(x+2)(x^2+3)

300

16n^4 - 1 (SG)

(2n-1)(2n+1)(4n^2+1)

400

36p^4 - 25

(6p^2 - 5)(6p^2 + 5)

500

3x^4 + 10x^2 + 3

(3x^2 + 1)(x^2 + 3)