Please don't give me the answer i need help to figure this out
Esmeralda and Heinz are working to graph a polynomial function, f(x). Esmeralda says that the third-degree polynomial has four intercepts. Heinz argues that the function only crosses the x-axis three times. Is there a way for them both to be correct? Explain your answer.

Heinz has a list of possible functions. Pick one of the g(x) functions below, show how to find the zeros, and then describe to Heinz the other key features of g(x).
g(x) = x3 – x2 – 4x + 4
g(x) = x3 + 2x2 – 9x – 18
g(x) = x3 – 3x2 – 4x + 12
g(x) = x3 + 2x2 – 25x – 50
g(x) = 2

Question

Please don't give me the answer i need help to figure this out
Esmeralda and Heinz are working to graph a polynomial function, f(x). Esmeralda says that the third-degree polynomial has four intercepts. Heinz argues that the function only crosses the x-axis three times. Is there a way for them both to be correct? Explain your answer.

Heinz has a list of possible functions. Pick one of the g(x) functions below, show how to find the zeros, and then describe to Heinz the other key features of g(x).
        g(x) = x3 –  x2  – 4x  + 4
        g(x) = x3  +  2x2 –  9x  – 18
        g(x) = x3  – 3x2 – 4x + 12
        g(x) = x3  + 2x2  – 25x  – 50
        g(x) =   2