SOLUTION: Find a polynomial of the specified degree that has the given zeros. Degree 3; zeros −2, 2, 4 P(x)= (blank)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find a polynomial of the specified degree that has the given zeros. Degree 3; zeros −2, 2, 4 P(x)= (blank)      Log On


   

Question 1200820: Find a polynomial of the specified degree that has the given zeros.
Degree 3; zeros −2, 2, 4
P(x)= (blank)
Answer by htmentor(1343) About Me  (Show Source):
You can put this solution on YOUR website!
With those 3 zeros, the function could be factored as:
(x+2)(x-2)(x-4)
Multiplying the factors gives
P(x) = (x^2-4)(x-4) = x^3 - 4x^2 - 4x + 16