Question

A polynomial that has 8 turning points is multiplied by another polynomial that has 7 zeros. What is the minimum degree of the new polynomial?

Answer 1

If there are 8 turning points in a polynomial graph, then the degree of the polynomial is n+1 or 9. On the other hand, this also applies to the number of zeros present in the function. If there are 7 zeros, then the degree is 8. Adding both degrees results to the resulting polynomial's degree is 16.