SOLUTION: use the rational zeros theorem to find all the real zeros of the polynomial function. use the zeros to factor f over the real numbers. f(x)= x^3+ 2x^2 -9x -18.

Algebra ->  Rational-functions -> SOLUTION: use the rational zeros theorem to find all the real zeros of the polynomial function. use the zeros to factor f over the real numbers. f(x)= x^3+ 2x^2 -9x -18.      Log On


   



Question 423775: use the rational zeros theorem to find all the real zeros of the polynomial function. use the zeros to factor f over the real numbers. f(x)= x^3+ 2x^2 -9x -18.
Answer by Gogonati(855) About Me  (Show Source):
You can put this solution on YOUR website!
Solution: -3, -2, 3 are all real zeros for this polynomial,thus we can divide it by (x+3), (x-3)and (x+2)
%28x%5E3%2B2x%5E2-9x-18%29%2F%28x%2B3%29=%28x%5E2-x-6%29=%28x%2B2%29%2A%28x-3%29 Finally we have:
x%5E3%2B2x%5E2-9x-18=%28x%2B2%29%2A%28x%2B3%29%2A%28x-3%29