a) Substitute really large negative values of x. What kind of numbers are you getting for the value of y?
b) Similarly, substitute large values of positive x.
c) y intercept is when x = 0. Substitute x = 0 into the equation and solve for y.
d) The zeroes are the x intercepts. Substitute y = 0 into the equation and solve for x. Multiplicity is the number of times in the equation where a specific root exist. For example, if a polynomial has zeroes 0,2,2,4,4,4 it has roots 0 of multiplicity 1, root 2 of multiplicity 2, and root 4 of multiplicity 3. Remember that for a polynomial of power n, it must have n roots.
Even without calculus, you should be able to graph the equation using these information.