Question

Find the intercepts and asymptotes.
t(x) =(x^3 − 8x^2)/(x^3 − 3x − 2)

Answer 1

\[(x^2(x-8))/((x-2)(x+1)^2)\]
zeros is when top equal zero so when
\[x^2(x-8)=0\]
x=0 and x=8
vertical asymptote when bottom equal zero sowhen :
\[(x-2)(x+1)^2=0\]
x=2 and x=-1
horizontal asymptote since the highest power is the same its the quotient of the coefficients
1/1=1