SOLUTION: Just a little more help. Find the zeros of the polynomial function: F(x)=x³-6x²+9x Thanks again

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Question 134216: Just a little more help.
Find the zeros of the polynomial function:
F(x)=x³-6x²+9x
Thanks again

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given equation


Set f(x) equal to zero


Factor out an "x"


Factor to get (note: if you need help with factoring, check out this solver)



Now set each factor equal to zero:
, or

, or Now solve for x in each case



------------

Answer:

So our solutions are

or




Notice if we graph we can see that the roots are and . So this visually verifies our answer.




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