Use the Factor Theorem to determine whether $g(x)$ is a factor of $p(x)$ in each of the following cases : $p(x)=2 x^{3}+x^{2}-2 x-1$, $g(x)=x+1$.
Factorise $y^2 -5y + 6$ by using the Factor Theorem.
Evaluate the following products without multiplying directly : $103 \times 107$
Write the coefficients of $x^2$ in each of the following :
$(i)$ $2+x^{2}+x $
$(ii)$ $2-x^{2}+x^{3}$
Classify the following as linear, quadratic and cubic polynomials :
$(i)$ $1+x$
$(ii)$ $3 t$
$(iii)$ $r^{2}$
$(iv)$ $7 x^{3}$