IM Alg2.2.14 Practice: What Do You Know About Polynomials?
We know these things about a polynomial function, f(x): it has exactly one relative maximum and one relative minimum, it has exactly three zeros, and it has a known factor of (x-4). Sketch a graph of f(x) given this information.
Mai graphs f(x) polynomial function.
has three linear factors and .
But she makes a mistake. What is her mistake?
Here is the graph of a polynomial function with degree 4.
Select all of the statements that are true about the function.
State the degree and end behavior of . Explain or show your reasoning.
Is this the graph of or ?
Explain how you know.
Kiran thinks he knows one of the linear factors of . After finding that , Kiran suspects that is a factor of , so he sets up a diagram to check. Here is the diagram he made to check his reasoning, but he set it up incorrectly. What went wrong?
The polynomial function has a known factor of . Rewrite as a product of linear factors.