Factoring Polynomials

Differences of Squares

100

a² - 1

(a + 1)(a - 1)

200

c² - 64

(c + 8)(c - 8)

300

m²n² - 100

(mn - 10)(mn + 10)

400

x² + 81

Not Factorable 

500

27y² - 363

3(3y - 11)(3y + 11)

GCF

100

8a²- 8a

8a(a - 1)

200

25a² + 15a

5a (5a + 3)

300

18x²-12x³

6x²(3-2x)

400

28a²b + 56abc²

28ab(a + 2c²)

500

18x²y - 24xy + 17xy²

xy(18x - 24 + 17y)

Polynomial Factoring

100

x³ + 7x² + 2x + 14

(x² + 2)(x + 7)

200

3x³ + 15x² - 2x - 10

(3x² - 2)(x + 5)

300

x²y + 3x² - 7y² - 21y

(x² - 7y)(y + 3)

400

u³ - u²v + uv² - v³

(u² - v²)(u - v)

500

12a³ + 4a² + 3ab + b

(4a² + b)(3a + 1)

Trinomial Factoring

100

x² - 8x + 12

(x - 6)(x - 2)

200

x² + 2x - 15

(x + 5)(x - 3)

300

x² + 13x - 36

Not Factorable 

400

7x² + 29x + 4

(x + 4)(7x + 1)

500

10y² - 35y + 30

5(y - 2)(2y - 3)

Division of polynomials

100

x²+ 4x

--------

x + 4

x

200

2n² + 10n + 8

-------------------

2n + 8

(n + 1)

300

2b³ - 50b

-------------

b + 5

2b(b - 5)

400

x²- 7x + 6

---------------

x² - 6x

(x - 1)

----------

x

500

n² + 7n + 10

-----------------

n² - 4n - 12

(n + 5)

----------

(n - 6)