**Solving Factorable Quadratic Equations**

A **quadratic equation** is a polynomial equation of degree two. The **standard form** is ax² + bx + c = 0.

There’s no magic to solving quadratic equations. Quadratic equations can be solved by **factoring** and also by **graphing.**

**The factoring method of solution:**

**Let’s do a quick review of factoring.**

There are primarily three types of factoring:

If you can factor, you will be able to solve factorable quadratic equations.

**Example 1: **

**Example 2: **

**Example 3: **

**Example 4: **

**Example 5: **

**Example 6: **

**Example 7: **

**Example 8: **

**Example 9: **

**The graphing method of solution:**

Quadratic equations can also be solved by graphing. Graphing can be done “by hand” or with the use of a graphing calculator. The locations where the graph intersects (crosses) the x-axis will be the solutions to the equation. These locations are called the **roots** of the equation.

(At the Algebra 1 level, the quadratic graphs will always intersect the x-axis.)

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