How do you find the asympototes for #y = (-8x^3 - 2x + 12)/( 7x^5 + 9x + 12)#?
The horizontal asymptote is
There is a vertical asymptote
Since the degree of the denominator is greater than the numerator, we find
In general, the roots of quintics cannot be expressed in terms of ordinary radicals. In this particular case, the quintic is almost in Bring-Jerrard normal form, so it's relatively easy (believe me) to express the root in terms of the Bring Radical:
Divide through by