Third Degree Polynomials

 

Third degree polynomials are also known as cubic polynomials. Cubics have these characteristics:

Examining the possible real roots of the first and second derivatives (derivatives are calculus concepts) leads to the three distinct shapes.

Number of Roots
 

Click for example

2

1

Graph 1

1

1

Graph 2

0

1

Graph 3

 

Click on any of the images below for specific examples of the three fundamental cubic shapes.