Find the slant asymptote, if any, of the rational function. Do not graph the function. (Enter your answers as a comma-separated list of equations. If an answer does not exist, enter DNE.)

f(x) =
x2 − 2x + 15
_____________
x + 7

1 answer

do a long algebraic or a synthetic division to show that

(x^2 - 2x + 15)/(x+7)
= x-9 + 78/(x+7)

the slant asymptote is
y = x-9