SOLUTION: Find a polynomial f(x) of degree 4 that has the following zeros. -8,0,7,-6 Leave your answer in factored form.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find a polynomial f(x) of degree 4 that has the following zeros. -8,0,7,-6 Leave your answer in factored form.       Log On


   

Question 397040: Find a polynomial f(x) of degree 4 that has the following zeros.
-8,0,7,-6
Leave your answer in factored form.
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Use the fact that if r is a root, then x-r is a factor of the polynomial. Thus the polynomial f(x) is (x+8)(x)(x-7)(x+6).