SOLUTION: Use long division to find the slant asymptote for each of the following functions. f(x)= (3x^2-4x+5)/(x-3) I just can't figure it out.

Algebra ->  Test -> SOLUTION: Use long division to find the slant asymptote for each of the following functions. f(x)= (3x^2-4x+5)/(x-3) I just can't figure it out.      Log On


   

Question 979600: Use long division to find the slant asymptote for each of the following functions.

f(x)= (3x^2-4x+5)/(x-3)
I just can't figure it out.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=+%283x%5E2-4x%2B5%29%2F%28x-3%29

------------(3x%2B5
%28x-3%29|3x%5E2-4x%2B5
------------3x%5E2-9x.....subtract
------------0%2B5x....add next term
------------5x%2B5
------------5x-15.....subtract
------------0%2B20
--------------20....reminder
f%28x%29=3x%2B5+%2B20%2F%28x-3%29
so,the slant asymptote is f%28x%29=3x%2B5