FACTORING POLYNOMIALS

Factoring by S/P

100

x^2 +5x-6

(x-1)(x+6)

200

x^2+5x-36

(x+9)(x-4) or (x-4)(x+9)

300

x^2-12x+20

(x-10)(x-2)

400

x^2 +15x+50

(x+10)(x+5)

500

x^2-x-156

(x-13)(x+12)

Factoring HD S/P

100

x^3+8x^2-9x

x(x-1)(x+9)

200

x^3-12x^2+32x

x(x-4)(x-8)

300

d^3+6d^2-40d

d(d+10)(d-4)

400

x^5-12x^3+32x

x(x+2)(x-2)(x^2-8)

500

x^5-13x^3+36x

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

Factoring by DOTS

100

4-x^2

(2-x)(2+x)

200

t^2-289

(t+17)(t-17)

300

49x^2 -81

(7x+9)(7x-9)

400

169x^4-25m^2

(13x^2+5m)(13x^2-5m)

500

36a^2b^4-64c^6

(6ab^2+8c^3)(6ab^2-8c^3)

Factor by GCF

100

14n^2+10n

2n(7n+5)

200

18x^3-6x

6x(3x^2-1)

300

8-4a^2

4(2-a^2)

400

4x^4+16x^3-8x^2

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

500

10a^3b^4-6a^2b^6

2a^2b^4(5a-3b^2)

Factoring HD DOTS

100

k^3-36k

k(k+6)(k-6)

200

9x-225x^3

x(15+x)(15-x)

300

49x^3-4x

x(7x+2)(7x-2)

400

4f^5-169f

f(2f^2+13)(2f^2-13)

500

16x^5-x

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