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).

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(52799) (Show Source): You can put this solution on YOUR website!
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The formula for P is


    P(x) =  = .


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

Solved.

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