Question

Somebody please help !

What is the oblique asymptote of the function f(x) = the quantity x squared plus 5x plus 6 over the quantity x minus 4 ?

Answer 1

So

\[\Large f(x) = \frac{x^2+5x+6}{x-4}\]

right?

Answer 2

yeah

Answer 3

are you familiar with polynomial long division? or synthetic division?

Answer 4

yes but i dont remember

Answer 5

which method do you want to use?

Answer 6

synthetic

Answer 7

x^2+5x+6

is really

1x^2+5x+6

Answer 8

write out the coefficients: 1 5 6

make sure they are spaced out a bit

Answer 9

in the denominator is x-4

so the test zero is k = 4. Write that in a box off to the left