Polynomial Factoring

Common Monomial

100

3x^2 + 6x

3x(x + 2)

200

-3n^3 + 5n

-n(3n^2 - 5)

300

35p^3 + 35p + 15

5(7p^3 + 7p + 3)

400

6y^7 + 10y^3

2y^3(3y^4 + 5)

500

-25 x^2 y^7 + 10y^7 + 35y^3

-5y^3(5 x^2 y^4 - 2y - 7)

Trinomials - 2 Sums

100

x^2 + 10x + 16

(x+2)(x+8)

200

x^2 + 13x + 42

(x+6)(x+7)

300

y^2 + 13y + 36

(y+4)(y+9)

400

a^2 + 25a + 100

(a+5)(a+20)

500

x^2 + 21x + 108

(x+9)(x+12)

Trinomials - 2 Differences

100

a^2 - 5a + 6

(a-2)(a-3)

200

x^2 - 10x + 21

(x-3)(x-7)

300

n^2 - 11n + 24

(n-3)(n-8)

400

y^2 - 12y + 27

(y-3)(y-9)

500

a^2 - 18a + 80

(a-8)(a-10)

Trinomial Squares

100

n^2 + 14n + 49

(n+7)^2

200

y^2 + 8y + 16

(y+4)^2

300

x^2 - 12x + 36

(x-6)^2

400

a^2 - 20a + 100

(a-10)^2

500

x^2 - 2xy + y^2

(x-y)^2

Differences of Squares

100

n^2 - 64

(n+8)(n-8)

200

x^2 - 144

(x+12)(x-12)

300

4a^2 - 16

(2a+4)(2a-4)

400

25y^2 - x^2

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

500

9n^2 - 9m^2

(3n + 3m)(3n - 3m)