Polynomials

Factoring Quadratics

100

x^2 - y^2

(x+y)(x-y)

200

x^2 + 6x + 9

(x+3)(x+3)

300

x^2 - 4x + 4

(x-2)(x-2)

400

x^2 + x - 6

(x+3)(x-2)

500

8x^2 - 10x - 3

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

Completing the Square

100

x^2 + 2x + _

4

200

x^2 + 6x + _

 9

300

x^2 - 3x + _

 9/4 

400

4x^2 - 8x + _

16

500

ax^2 + bx +_

(b/2)²

Solving Quadratics

100

x^2 +x - 6 = 0

 -3 and 2

200

x^2 + 2x + 1 = 0

 -1

300

x^2 + 5x + 6 = 0

 -2 and -3

400

x^2 + 1 = 0

+i,-i

500

The solutions to ax^2 + bx + c = 0

What is the quadratic formula

Factoring Cubics

100

x^3 - y^3

(a-b)(a²+ab+b²)

200

p^3 + q^3

(p+q)(p²-pq+q²)

300

x^3 - 8

 (x - 2)(x^2 + 2x + 4)

400

27x^3 + 64

(3x + 4)(9x^2 - 12x + 16)

500

x^6 - z^9

 (x^2 - z^3)(z^4 + x^2z^3 + z^6)

Solving Cubics

100

x^3 + 2x^2 - 3x = 0

 0, - 3, and 1

200

x^3 - 9x^2 - 4x + 36 = 0

 2, -2, and 9

300

0 = (x + 3)^3

 -3 of multiplicity 3

400

x^3 - 9x^2 + 31x - 39 = 0 (x = 3 is one root)

3,3+2i, and 3-2i

500

x^3 - 3x^2 + 4x - 2 = 0

1,1+i and 1-i