SOLUTION: Use the given zero to find all the zeros of the function: f(x)=x^3+x^2+9x+9 zero: 3i i=imaginary number Thanks!

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Use the given zero to find all the zeros of the function: f(x)=x^3+x^2+9x+9 zero: 3i i=imaginary number Thanks!      Log On


   

Question 826395: Use the given zero to find all the zeros of the function: f(x)=x^3+x^2+9x+9
zero: 3i
i=imaginary number
Thanks!
Answer by tommyt3rd(5050) About Me  (Show Source):
You can put this solution on YOUR website!
since 3i is a root, then so is -3i and thus so is x^2+9. Then factoring we can say...
x%5E3%2Bx%5E2%2B9x%2B9=x%28x%5E2%2B9%29%2B1%28x%5E2%2B9%29=%28x%2B1%29%28x%5E2%2B9%29