Factoring Polynomials

Greatest Common Factor

100

Factor:

-8x-8y

-8(x+y)

200

Factor:

15y²-5y

5y(3y-1)

300

Factor:

x²-10x

x(x-10)

400

Factor:

2x^2y-4xy^3

2xy(x-2y^2)

500

Factor:

24a^2b+18abc

6ab(4a+3c)

Difference of Squares

100

Factor:

y²-9

(y-3)(y+3)

200

Factor:

x^2-1

(x-1)(x+1)

300

Factor:

25-a^2

(5-a)(5+a)

400

Factor:

4x^2-25y^2

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

500

Factor:

49m^2-100n^2

(7m-10n)(7m+10n)

Factoring Trinomials

100

Factor:

x^2 + 5x + 4

(x+4)(x+1)

200

Factor:

x^2+3x-4

(x+4)(x-1)

300

Factor:

16+8x+x^2

(x+4)(x+4)

400

Factor:

2x^2+5x+2

(2x+1)(x+2)

500

Factor:

4x^2+11x+6

(4x+3)(x+2)

Factoring Completely

100

Factor:

3x^2-27

3(x+3)(x-3)

200

Factor:

2x^2 - 50

2(x+5)(x-5)

300

Factor:

4x^2-36

4(x+3)(x-3)

400

Factor:

y^3 - 25y

y(y+5)(y-5)

500

Factor:

ax^2+3ax+2a

a(x+2)(x+1)