Question

Find the slant asymptote:
g(x) = x^3 + 7/x^2 + 2x

Answer 1

this should help you out.

https://www.purplemath.com/modules/asymtote3.htm

Answer 2

Yeah, I know how to go about finding it. But the denominator is not in x+b form. Would I factor an x out of x^2+2x?

Answer 3

divide

Answer 4

you get a quotient and a remainder
ignore the remainder, the quotient is a line, that is your slant asympote

Answer 5

Would synthetic division not work?

Answer 6

no

Answer 7

denominator is a quadratic. you just have to divide
but not much, just get the quotient, ignore the remainder

Answer 8

Okay, thank you.

Answer 9

yw