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=−2 Find a possible formula for P(

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=−2 Find a possible formula for P(      Log On


   

Question 1179044: 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=−2
Find a possible formula for
P(x)=
Answer by ikleyn(52814) About Me  (Show Source):
You can put this solution on YOUR website!
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Write as you read 

    P(x) = %28x-4%29%5E2%2Ax%5E2%2A%28x-%28-2%29%29 = x%5E2%2A%28x-4%29%5E2%2A%28x%2B2%29.      ANSWER

Solved.

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The problems of this class belong to the category of problems that normal student should solve automatically,
i.e. without thinking.