Factoring Polynomials

Greatest Common Factor

100

64 - 40ab

8(8-5ab)

200

4d^2 + 16

4(d^2+4)

300

15ad + 30a^2 d^2

15ad(1+2ad)

400

16x+18

6(x+3)

500

10m^3 +20m

10m (m^2 + 2)

Factor By Grouping

100

9x^2 -3xy + 6x - 2y

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

200

x^2 +4x +2x +8

(x+2)(x+4)

300

2a^2 + 3a +6a +9 

(a+3)(2a+3)

400

-6mp + 4m + 18p -12

(-2m+6)(3p-2)

500

12a^2 - 15ab -16a +20b

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

Trinomials

100

x^2 +7x +12

(x+3)(x+4)

200

x^2 +4x -12

(x-2)(x+6)

300

x^2 +2x +1

(x+1)(x+1)

400

x^2 +13x +36

(x+4)(x+9)

500

x^2 + 9x-22

(x-11)(x+2)

Solve a polynomial

100

(x+2)(x-2)=0

{2,-2}

200

(x+6)(3x-15) = 0

{-6, 5}

300

24m^2 - 15m = 0

{0, 5/8}

400

12y^2 -47 = 0

{0, 1/3}

500

10y^2  = 5y

{0, 1/2}

Solve a trinomial

100

(x+5)(x+1)=0

{-1,-5}

200

(x+2)(x-3)=0

{-2, 3}

300

x^2 +5x +6 =0 

{-3, -2}

400

x^2-7x+10 =0 

{2,5}

500

x^2 - 3x = 18

{6,-3}