State true or false x=Θ(n4), y=Θ(n2) therefore x/y=Θ(n2)
I think the ans is true,but in the book it says false. What is the explanation?
My reason for thinking it to be true is that say for x we have a polynomial n4+...... and for y we have a polynomial like n2+... so if we divide x/y the ans should have the highest power of n2 and the resultant polynomial will be like n2+.... So it should be Θ(n2)