Determine the oblique asymptote of the graph of the function

Determine the oblique asymptote of the graph of the function. f(x) = x^3 - x^2 - 11x + 16/x^2 + 2x - 5 The oblique asymptote is y =

Solution

given f(x)=(x³-x²-11x+16)/(x²+2x-5)

long division:

x²+2x-5] x³-x²-11x+16 [x-3
..............x³+2x²-5x
.................(-)....(+)
.....................................
...................-3x²-6x+16
...................-3x²-6x+15
..................(+)...(+)..(-)
......................................
...................................1..

oblique symptote is y =x -3