Question

a polynomial function has four turning points and two zeros. what could it’s degree be? list all that apply

Answer 1

Step 1:

In this question, we have that:

A polynomial function with real coefficients has four turning points and two zeros could be a degree 6 or any higher even degree.

This is because:

A polynomial of degree n has at most ( n - 1 ) turning points.

So, it cannot be a degree 4.

It cannot be a degree 5 because it has two real zeros, and then three complex roots. A polynomial function with real coefficients cannot have an odd number of complex roots.

Hence, the polynomial degree would be six or any higher even degree.