Check whether the first polynomial is a factor of the second polynomial by applying the division algorithm:
\text { (i) } g(t)=t^{2}-3 ; f(t)=2 t^{4}+3 t^{3}-2 t^{2}-9 t-12
\text { (ii) } g(x)=x^{3}-3 x+1 ; f(x)=x^{5}-4 x^{3}+x^{2}+3 x+1
\text { (iii) } g(x)=2 x^{2}-x+3 ; f(x)=6 x^{5}-x^{4}+4 x^{3}-5 x^{2}-x-15