#### Factoring Quadratics

Completely factor x^2+6x+8

**= (x+4)(x+2)**

#### Factoring Quadratics II

Completely factor 3x^2+4x-7

**= (3x+7)(x-1)**

#### Factoring Quadratics III

Completely factor

= x^2(x-7) – 3(x-7)

**= (x^2-3)(x-7)**

#### Factoring Quartics

Completely factor 2x^4-28x^2+90

= 2(x^4-14x^2+45)

= 2(x^2-9)(x^2-5)

**= 2(x+3)(x-3)(x^2-5)**

#### Factoring/Solving Difference of Cubes

#### Solving Quartics

Completely factor.

= 2x^4-28x^2+90

= 2(x^4-14x^2+45)

= 2(x^2-9)(x^2-5)

= 2(x+3)(x-3)(x^2-5)

**x=-3, 3, +-sqrt 5**

#### Vertex Form

Rewrite in vertex form.

#### Graphing Polynomials

- Determine the End Behavior based on the Leading Coefficient Test and write the end behavior of this polynomial in Limit Notation.
- Find the zeros of the polynomial function
- Find the y-intercept of the polynomial function
- Graph the polynomial function.

#### Write a Polynomial with Roots

Find a polynomial function with the given zeros: 0, 2 mult 2

#### Long Division

Divide with Long Division

#### Synthetic Division

Divide with Synthetic Division

#### Rational Roots Theorem

Use the Rational Roots Theorem to find all possible roots and then solve.