Factoring!

GCF

100

Factor this polynomial: 

2x + 12

2(x + 6)

200

Factor this polynomial: 

6x² + 24x

6x(x + 4)

300

Factor this polynomial: 

2m³n - 8mn² + 6mn

2mn(m² - 4n + 3)

400

Factor this polynomial: 

6a²b³c - 2ab²c² + 7abc

abc(6ab² - 2bc + 7)

500

Factor this polynomial: 

12x²y²z + 6x³yz - 33x²z²

3x²z(4y² + 2xy - 11z)

Grouping

100

Factor this polynomial:

m²n + 3m² - 2n - 6

(m² - 2)(n + 3)

(order does not matter)

200

Factor this polynomial:

xy + 2x - y - 2

(x - 1)(y + 2)

(order does not matter)

300

Factor this polynomial:

3a² + ab - 9a - 3b

(3a + b)(a - 3)

(order does not matter)

400

Factor this polynomial:

18mn - 6mn² + 3m² - m²n

(6mn + m²)(3 - n)

(order does not matter)

500

Factor this polynomial:

-70x²y³ - 10x²y - 21y³ - 3y

(10x²y + 3y)(-7y² - 1) OR (-10x²y - 3y)(7y² + 1)

(order does not matter)

Special Trinomials

100

Factor this polynomial:

x² + 4x + 3

(x + 1)(x + 3)

(Order is not important)

200

Factor this polynomial:

x² + 7x - 18

(x - 2)(x + 9)

(order is not important)

300

Factor this polynomial:

2x² + 4x + 2

(2x + 2)(x + 1)

(order is not important)

400

Factor this polynomial:

3x² + 17x - 6

(3x - 1)(x + 6)

(order is not important)

500

Factor this polynomial:

8x² - 10x + 3

(4x - 3)(2x - 1)

(order is not important)

Difference of Squares

100

Factor this polynomial:

49x² - 9

(7x + 3)(7x - 3)

200

Factor this polynomial:

100x² - 81y²

(10x + 9y)(10x - 9y)

300

Factor this polynomial:

4a⁴ - 36b²

(2a² + 6b)(2a² - 6b)

400

Factor this polynomial:

64x²y² - 16z²

(8xy + 4z)(8xy - 4z)

500

Factor this polynomial:

121m² - 16n⁴

(11m + 4n²)(11m - 4n²)

Solving Equations

100

Find the values of x:

x(x-3) = 0

[0, 3]

200

Find the values of x:

x² + 4x = 0

[-4, 0]

300

Find the values of x:

(x - 3)(3x + 1) = 0

[-1/3, 3]

400

Find the values of x:

x² - x - 2 = 0

[-1, 2]

500

Find the values of x:

2x² + 7x - 4 = 0

[-4, 1/2]