Verify whether $2$ and $0$ are zeroes of the polynomial $x^{2}-2 x$.
Determine which of the following polynomials has $(x + 1)$ a factor : $x^{4}+x^{3}+x^{2}+x+1$.
Find the remainder when $x^{3}+3 x^{2}+3 x+1$ is divided by $x+1$
Factorise : $x^{3}-2 x^{2}-x+2$
Factorise $6x^2 + 17x + 5$ by splitting the middle term, and by using the Factor Theorem.