For each of polynomials before: (i) find degree of polynomial (ii) determine leading coefficient of polynomial and state whether it increases or falls at large negative and large positive values of x (iii) factor polynomial as fully as possible (iv) determine zeros of polynomial and state their multiplicity.
a) f(x)= -4x^2(x^2-4)(x+1)^2(x-2)
b) f(x)= -4x^4-5x^3-6x^2