Help.

Find the slant asymptote of the function
f(x)=36 x^2 - 12 x - 51 / 6 x+ 6
I have been having the hardest time understanding asymptotes

Question

Help. 

Find the slant asymptote of the function
f(x)=36 x^2 - 12 x - 51 / 6 x+ 6 
I have been having the hardest time understanding asymptotes

anonymous · Answer

Long division. Find the quotient of
$$\frac{36x^2-12x-51}{6x+6}$$
Drop the remainder term and you're left with the slant asymptote.

anonymous · Answer

so i i would just do long division and instead of including the remainder in my answer I would just leave it out?

anonymous · Answer

Yes, the polynomial part you're left with is the same as the line that forms the slant asymptote.

anonymous · Answer

thank you

anonymous · Answer

You're welcome