SOLUTION: Find the zero of the polynomial function: f(x) = x to the third power - 6x to the second power + 9x

Algebra ->  Algebra  -> Trigonometry-basics -> SOLUTION: Find the zero of the polynomial function: f(x) = x to the third power - 6x to the second power + 9x      Log On

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Question 137324: Find the zero of the polynomial function:
f(x) = x to the third power - 6x to the second power + 9x
Answer by Fombitz(13823) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=x%5E3-6x%5E2%2B9x
You can factor out an x to get:
f%28x%29=x%28x%5E2-6x%2B9%29
Then factor the perfect square quadratic.
f%28x%29=x%28x-3%29%5E2
Zeros are at x=0 and x=3.
+graph%28+300%2C+300%2C+-5%2C+5%2C+-5%2C+5%2C+x%5E3-6x%5E2%2B9x%29+