Solving Factorable Quadratic Equations

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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