SOLUTION: I really need help with this problem. Please show every step by step. Thank you The polynomial of degree 3  , P(x)  , has a root of multiplicity 2  at x=5  and a root of mult

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I really need help with this problem. Please show every step by step. Thank you The polynomial of degree 3  , P(x)  , has a root of multiplicity 2  at x=5  and a root of mult      Log On


   

Question 995120: I really need help with this problem. Please show every step by step. Thank you

The polynomial of degree 3  , P(x)  , has a root of multiplicity 2  at x=5  and a root of multiplicity 1  at x=−1  . The y -intercept is y=−15  .
Find a formula for P(x)  .
Answer by josgarithmetic(39614) About Me  (Show Source):
You can put this solution on YOUR website!
P%28x%29=a%28x-5%29%5E2%28x-%28-1%29%29%5E1
You see how the roots correspond to given and the exponents correspond to the multiplicities.

P%28x%29=a%28x-5%29%5E2%28x%2B1%29.
The given y-intercept (0,-15) allows you to solve for a.