SOLUTION: The polynomial of degree 3, P(x), has a root of multiplicity 2 at x=4 and a root of multiplicity 1 at x=−5. The y-intercept is y=−8. Find a formula for P(x). P(x)=

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: The polynomial of degree 3, P(x), has a root of multiplicity 2 at x=4 and a root of multiplicity 1 at x=−5. The y-intercept is y=−8. Find a formula for P(x). P(x)=      Log On


   



Question 1110454: The polynomial of degree 3, P(x), has a root of multiplicity 2 at x=4 and a root of multiplicity 1 at x=−5. The y-intercept is y=−8.
Find a formula for P(x).
P(x)=

Answer by josgarithmetic(39628) About Me  (Show Source):
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P%28x%29=a%28x-4%29%5E2%2A%28x%2B5%29 contains a point (0,-8). Solve for a, and plug in the coordinate values to find a.