SOLUTION: Find all real zeros of the function. f(x)=x^3-6x^2+4x-24

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Question 426948: Find all real zeros of the function.
f(x)=x^3-6x^2+4x-24

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E3-6x%5E2%2B4x-24+=+x%5E2%28x+-+6%29+%2B+4%28x-6%29+=+%28x%5E2+%2B+4%29%28x-6%29+=+0.
The only real zero is x = 6. x%5E2+%2B+4 will yield imaginary zeroes.