PLEASE HELP NEED IN 3 HOURS

Question

The polynomial  has degree 3. If , , , and , then what are the -intercepts of the graph of ? Explain your answer fully, preferably in complete sentences.

Answer 1

f(0)=0 tells you 2 things: one of the y intercepts is 0 and the constant term in this cubic is 0.

A rough plot of the graph suggests that there is only one y intercept!

The only way I can think of to be sure is to use the values of the function to compute the coefficients and then plot the graph exactly.