# Graphs of Third Degree Polynomials

The graphs of several third degree polynomials are shown along with questions and answers at the bottom of the page.

1. Polynomial of a second degree polynomial: cuts the x axis at one point.
Question 1: Why does the graph cut the x axis at one point only? Figure 1: Graph of a third degree polynomial.

2. Polynomial of a second degree polynomial: 3 x intercepts.
Question 2: If the graph cuts the x axis at x = -2, what are the coordinates of the two other x intercpets? Figure 2: Graph of a third degree polynomial

3. Polynomial of a third degree polynomial: 3 x intercepts and parameter a to determine.
Question 3: The graph below cuts the x axis at x = 1 and has a y intercpet at y = 1. What are the coordinates of the two other x intercpets? Figure 3: Graph of a third degree polynomial

4. Polynomial of a third degree polynomial: one x intercepts.
Question 4: The graph below cuts the x axis at x = -1. Why does the graph of this polynomial have one x intercept only? Figure 4: Graph of a third degree polynomial, one intercpet.