Polynomial Functions

Question

Ray and Kelsey are working to graph a third-degree polynomial function that represents the first pattern in the roller coaster plan. Ray says the third-degree polynomial has 4 intercepts. Kelsey argues the function can have as many as 3 zeros only. Is there a way for both of them to be correct?

Answer 1

Kelsy is correct. The Fundamental Theorem of Algebra states that a polynomial of degree "n" has at most "n" number of complex roots.