SOLUTION: Find all zeros of f(x)=x^3-8x^2+29x-52

Algebra ->  Functions -> SOLUTION: Find all zeros of f(x)=x^3-8x^2+29x-52      Log On


   

Question 1100700: Find all zeros of f(x)=x^3-8x^2+29x-52
Answer by josgarithmetic(39614) About Me  (Show Source):
You can put this solution on YOUR website!
52=2%2A2%2A13 so you might want to test for 2 and 4 as possible roots using synthetic division. 
4   |   1   -8   29   -52
    |
    |       4   -16   52
    |___________________________
       1    -4   13   0

f%28x%29=%28x-4%29%28x%5E2-4x%2B13%29
Next, use general solution of quadratic equation for the roots of x%5E2-4x%2B13, which are complex.