The polynomial of degree 4, P(x) has a root of multiplicity 2 at x=3 and roots of multiplicity 1 at x=0 and x=-3. It goes through the point (5,112). How do you find a formula for P(x)?
A polynomial of degree 4 will have the root form:
Substitute in the values for the roots and then use the point to find the value of k.
Substitute in the values for the roots:
Use the point
The root from of the polynomial is: