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.
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.)