I think I found an error in my math book.

I'm using polynomial long division to calculate the slant asymptote. can someone check this to see if i'm correct.

the book says the following.

(x^2-4x-5)/(x-3)=x-1+(8/x-3)

I think it should be

(x^2-4x-5)/(x-3)=x-1-(8/x-3)

note the only difference is the subtraction/addition of the remainder fractional value.

who is correct? (me or book)