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

Algebra ->  Expressions-with-variables -> SOLUTION: The polynomial of degree 5, P(x) has a leading coefficient 1, has roots of multiplicity 2 at x=5 and x=0, and a root of multiplicity 1 at x=-5. find a possible formula for P(x)      Log On


   

Question 652834: The polynomial of degree 5, P(x) has a leading coefficient 1, has roots of multiplicity 2 at x=5 and x=0, and a root of multiplicity 1 at x=-5. find a possible formula for P(x)
Answer by stanbon(75887) About Me  (Show Source):
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The polynomial of degree 5, P(x) has a leading coefficient 1, has roots of multiplicity 2 at x=5 and x=0, and a root of multiplicity 1 at x=-5. find a possible formula for P(x)
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Note: If k is a root, x-k is a factor.
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P(x) = (x-5)^2(x^2)(x+5)
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Cheers,
Stan H.