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

Algebra ->  Polynomials-and-rational-expressions -> 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      Log On


   



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) About Me  (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.
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where cross the x axis
If touches the x axis at x=4 and at x=-2 but does not cross it.
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factors:
f(x) = x^4 + 12x^3 + 52x^2 +96x +64
f(x) = (x+2)^2 * (x+4)^2
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Cheers,
Stan H.