SOLUTION: The polynomial of degree 5, P(x) has leading coefficient 1, has roots of multiplicity 2 at x=4 and x=0, and a root of multiplicity 1 at x=−1 Find a possible formula for P(x).

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: The polynomial of degree 5, P(x) has leading coefficient 1, has roots of multiplicity 2 at x=4 and x=0, and a root of multiplicity 1 at x=−1 Find a possible formula for P(x).      Log On


   

Question 1188483: The polynomial of degree 5, P(x) has leading coefficient 1, has roots of multiplicity 2 at x=4 and x=0, and a root of multiplicity 1 at x=−1
Find a possible formula for P(x).
Answer by ikleyn(52794) About Me  (Show Source):
You can put this solution on YOUR website!
.

The formula for P is


    P(x) = x%5E2%2A%28x-4%29%5E2%2A%28x-%28-1%29%29 = x%5E2%2A%28x-4%29%5E2%2A%28x%2B1%29.


It is a "possible" formula, and it is only one UNIQUE possible polynomial, under given conditions.

Solved.