SOLUTION: The polynomial of degree 3, P(x) has a root of multiplicity 2 at x=5 and a root of multiplicity 1 at x=-3. The y- intercept is y= -45. Find a formula for P(x).

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: The polynomial of degree 3, P(x) has a root of multiplicity 2 at x=5 and a root of multiplicity 1 at x=-3. The y- intercept is y= -45. Find a formula for P(x).      Log On


   

Question 1059813: The polynomial of degree 3, P(x) has a root of multiplicity 2 at x=5 and a root of multiplicity 1 at x=-3. The y- intercept is y= -45. Find a formula for P(x).
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The description means P%28x%29=k%28x-5%29%5E2%2A%28x%2B3%29 and contains a point (0,-45). Use this point to solve for k. You can later perform the multiplications to give the "general" form of P(x).