Question

Help!! Identify the oblique asymptote of f(x) = quantity 2 x squared plus 3 x plus 8 over quantity x plus 3 . (1 point)

y = 2x − 3

y = 2x + 9

y = 0

No oblique asymptote

Answer 1

$f(x)= \frac{2 x^{2} +3x+8}{x+3}$
You can use synthetic division since the divisor is a linear binomial
x + 3 = 0 so x = -3
-3| 2    3    8
    ___-6__9_
     2   -3   | 17 ←ignore remainder
y = 2x - 3