how towrite a polynomial equation to model a 4 th degree polynomial with functions values of 0,,5 10, and 15

Question

suppose that you are told that a good model for a situation is a 4th degree polynomial. You know that the function must have values of 0 for the input of 0,5,10,and 15.Write a polynomial equation to model the situation.

Answer 1

If the polynomial has four roots it can be expressed as a product of four linear factors P(x) = (x-0)(x-5)(x-10)(x-15)=x(x-5)(x-10)(x-15) Multiply these terms and you will get your polynomial. Can you finish?