SOLUTION: HELP PLEASE!! End behavior where cross the x axis factors: f(x) = x^4 + 12x^3 + 52x^2 +96x +64 this is really hard stuff Thanks llo

Question 94415: HELP PLEASE!!
End behavior
where cross the x axis
factors:
f(x) = x^4 + 12x^3 + 52x^2 +96x +64
this is really hard stuff
Thanks
llo
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
End behavior
The highest power term determines what happens as x goes to + or to - infinity.
Since x^4 goes to + infinity as x does, f(x) goes to + infinity.
Since x^4 goes to + infinity as x goes to - infinity, f(x) goes to + infinity.
--------------
where cross the x axis
If touches the x axis at x=4 and at x=-2 but does not cross it.
----------------
factors:
f(x) = x^4 + 12x^3 + 52x^2 +96x +64
f(x) = (x+2)^2 * (x+4)^2
============
Cheers,
Stan H.

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