Determine the horizontal asymptote for r(x) =x^3 - 2x^2 + 3/x - 2, if one exists.
A)There is no horizontal asymptote.
B)The horizontal asymptote is y = 0.
C)The horizontal asymptote is x = 2.
D)The horizontal asymptote is y = x - 1.
Simplify.
x^2 + 5x - 14
__________
x^2 + 8x + 7
A) 7x/x
B) x - 2/x + 1
C) x - 2/x + 7
D) x + 7/x + 1
[x ^3 - 2x^2 + 3 ] / [ x -2 ]
Because the polynomial in the numerator is of a greater degree than the polynomial in the denominator, there is no horizontal asymptote
x^2 + 5x - 14 [ ( x + 7) (x - 2) ] [ x - 2 ]
__________ factors as _____________ = ______
x^2 + 8x + 7 [ (x + 7) ( x + 1) ] [ x + 1 ]