SOLUTION: Determine the x-intercepts of {{{f(x)=(x^2-6x)^2-2(x^2-6x)-35}}}

Question 224747: Determine the x-intercepts of
Answer by LtAurora(115) (Show Source): You can put this solution on YOUR website!

Substitute out the messy bit:

This gives a more reasonable looking equation:

Which can be factored as:

Then, substitute back in:

This yields

Which can factor down to:

Thus the x-intercepts are:
x=6,1,7,-1
This type problem could also be done with synthetic division, but this particular one factors without too much difficulty.
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