Identify the oblique asymptote of f(x) = quantity x squared plus 6 x minus 9 over quantity x minus 2.

a) y = 0

b) y = x + 8

c) y = x + 4

d) No oblique asymptote

Question

Identify the oblique asymptote of f(x) = quantity x squared plus 6 x minus 9 over quantity x minus 2.

a) y = 0

b) y = x + 8

c) y = x + 4

d) No oblique asymptote

nnesha · Answer

can you translate that into the equation ?

barrelracing · Answer

x^2 + 6x -9 / x - 2

nnesha · Answer

yes right 
familiar with the synthetic division ?

barrelracing · Answer

not anymore

nnesha · Answer

alright so we should apply synthetic  division (or long but synthetic is easy )
the quotient would be the oblique asy
we need to solve x-2 for x
x-2=0 add 2 both sides 
x=2 
|dw:1442256272209:dw| just write the coefficient of 
carry down the first term and then multiply by 2 write your answer above the line