Which of the following equations has roots as a,b and c ?

Options

A. `x^(3) + x^(2)(a+b+c) + x(ab+bc+ca) + abc = 0`
B. `x^(3)+x^(2)(a+b+c)+x(ab+bc+ca) - abc = 0`
C. `x^(3) - x^(2)(a+b+c) + x(ab+bc+ca)-abc = 0`
D. `x^(3)-x^(2)(a+b+c)-x(ab+bc+ca) - abc = 0`

Answer

C

Explanation

Let `(x-a) (x-b) (x-c) = 0` and expand.