Polynomials and Factoring

Factor the GCF

100

80n^5-50

10(8n^5-5)

200

-12k^2+4k^3

-4k^2(3-k)

300

-27n^7-9n^6-21n^5

-3n^5(9n^2+3n+7)

400

-5n^4-m^3-3m^2

-m^2(5m^2+m+3)

Factor by Grouping

100

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

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

200

32n^3-40n^2+28n-35

(8n^2+7)(4n-5)

300

48n^3+42n^2-64n-56

2(3n^2-4)(8n+7)

400

120n^3-40n^2+96n-32

8(5n^2+4)(3n-1)

Factoring

100

p^2-5p-6

(p-6)(p+1)

200

n^2+2n-63

(n-7)(n+9)

300

3n^2+n-2

(3n-2)(n+1)

400

6b^2-11b-7

(3b-7)(2b+1)

Factoring Special Cases

100

b^2-100

(b+10)(b-10)

200

x^2-16

(x+4)(x-4)

300

k^2+14k+49

(k+7)^2

400

16x^2+8x+1

(4x+1)^2