SOLUTION: I need HELP BAD!! f(x)=x^3 - 2x^2 +3 what does this factor to where does it cross the x axis What is the end behavior HELPPPPPPPPPPPPP thanks llo

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I need HELP BAD!! f(x)=x^3 - 2x^2 +3 what does this factor to where does it cross the x axis What is the end behavior HELPPPPPPPPPPPPP thanks llo      Log On


   

Question 94338: I need HELP BAD!!
f(x)=x^3 - 2x^2 +3
what does this factor to
where does it cross the x axis
What is the end behavior
HELPPPPPPPPPPPPP
thanks
llo
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
f(x)=x^3 - 2x^2 +3
what does this factor to?
I graphed it and found it crosses the x-axis at x=-1
so it has a factor of (x+1).
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Then using synthetic division you can find the quadratic factor:
-1)....1....-2....0....3
.........1.....-3...3..|..0
Quotient is x^2-3x+3
Using the quadratic formula you get:
x = [3+-sqrt(9-4*1*3)]/2
x = [3+-sqrt(-3)]/2
x = [3+isqrt(3)]/2 or x= [3-isqrt(3)]/2
----------------
Factors are (x+1)(x-[3+isqrt(3)]/2)(x-[3-isqrt(3)]/2)
========================
where does it cross the x axis
That was answerd above.
---------------
What is the end behavior
As x goes to +infinity f(x) goes to +infinity because the x^3 term is the
most influential.
----------
As x goes to -infinity f(x) goes to -infinity because the x^3 term is the
most influential.
==============
Cheers,
Stan H.