There are three fast friends, Anil, Pankaj and Vivek. They decided to establish a business together in a village. They decided to share their capitals depending upon a variable expenditure. The capital polynomial of the three partners together is x3+x2-4x-4, which is the product of their individual share factors.

(i) Find their share factors.

(ii) Are their capital shares same?

= (x-2) [x(x + 2) + 1(x + 2)]

= (x + 1)(x - 2)(x + 2)

Hence, their shares factors are (x - 2), (x + 1) and (x + 2).

(ii) No, their capital shares are not same.