The question goes like this:

Sketch the graph of y = 5 / x^2(x+3) , indicating clearly the equations of any asymptotes and turning points.

Hence, find the range of values of k if the number of real roots of the equation kx^2(x+3)=5 , where k is a constant is :

(i) three

(ii) one

The answer for the parts are (i) k>1.25

(ii) k<1.25,

How should i approach this question? and how can i find the asymptotes? thank you!!