Question

What is the relationship between the factors and the graph of a polynomial equation??

Answer 1

Each intercept corresponds to a zero of the polynomial function and every zero yields a factor.

Explanation:

Each intercept corresponds to a zero of the polynomial function and every zero yields a factor, so we can now write the polynomial in factored form. Graphs behave differently at various intercepts. Sometimes, the graph will cross over the horizontal axis at an intercept. Other times, the graph will touch the horizontal axis and bounce off.