SOLUTION: Can you help me? I need to find all intercepts, and all asymptotes. Show work. For this (x^2+3x-10)/(x^2+8x+15)

Algebra ->  Decimal-numbers -> SOLUTION: Can you help me? I need to find all intercepts, and all asymptotes. Show work. For this (x^2+3x-10)/(x^2+8x+15)       Log On


   

Question 917192: Can you help me? I need to find all intercepts, and all asymptotes. Show work. For this (x^2+3x-10)/(x^2+8x+15)
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
f(x) = %28%28x%2B5%29%28x-2%29%29%2F%28%28x%2B3%29%28x%2B5%29%29

= %28x-2%29%2F%28x%2B3%29

Vertical asymptote: x = -3

Horizontal asymptote: look at the degree of numerator and denominator
numerator: _x^2_ + 3x - 10 ---> 2
denominator: _x^2_ + 8x + 15 ---> 2

divide coefficients: x^2/x^2 = 1 ----> y = 1

Plug in y = 0 to find x-intercept ---> (2, 0)
Plug in x = 0 to find y-intercept ---> (0, -2/3)