2. Use the Factor Theorem to determine whether g(x) is a factor of p(x) in each of the following cases:

(i) \(p(x)=2x^3+x^2-2x-1\), \(g(x)=x+1\)   

(ii) \(p(x)=x^3+3x^2+3x+1\), \(g(x)=x+2\)

(iii) \(p(x)=x^3-4x^2+x+6\), \(g(x)=x-3\)