Verify whether the following are zeroes of the polynomial, indicated against them.

$p(x) = (x + 1) (x -2)$, $x = -\,1, \,2$

Use the Factor Theorem to determine whether $g(x)$ is a factor of $p(x)$ in each of the following cases :  $p(x)=2 x^{3}+x^{2}-2 x-1$, $g(x)=x+1$.

Divide the polynomial  $3 x^{4}-4 x^{3}-3 x-1$ by $x-1$.

Evaluate the following products without multiplying directly : $103 \times 107$

Which of the following expressions are polynomials in one variable and which are not ? State reasons for your answer.  $x^{10}+y^{3}+t^{50}$