Question

I am not sure how to write an equation that meets all these requirements

Answer 1

Explanation:

A quintic function is defined by a polynomial of degree five, the degree is the highest exponent of the polynomial.

Then, by using the factored form, a polynomial of degree five with x-intercepts only at x=-3 and x=4.

a)

`c(x)=(x-4)^3(x+3)^2`

b) It is a fifth-degree polynomial because when you expand the factors, the highest degree of the polynomial would be 5.

c)