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.

I really need help! Please :) I am desperate :(

Question

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.

I really need help! Please :) I am desperate :(

anonymous · Answer

To answer this question, think about how and when a polynomial function crosses the x-axis.

anonymous · Answer

I don't know anything about polynomial functions and have to complete this course this week!

cwrw238 · Answer

well one of the intercepts could be through the y-axis

anonymous · Answer

A polynomial function crosses the x-axis at its roots.

anonymous · Answer

That is, for example, $$f(x) = ax^3+bx^2+cx+d = 0$$

anonymous · Answer

@math1234 so Heinz is correct?

cwrw238 · Answer

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