Find the zero of the polynomial : $p(x) = x + 5$
$0$
$-5$
$5$
$4$
Evaluate $105 \times 106$ without multiplying directly.
Use the Factor Theorem to determine whether $g(x)$ is a factor of $p(x)$ in each of the following cases : $p(x)=x^{3}+3 x^{2}+3 x+1$, $g(x)=x+2$.
Find the value of the polynomial $5x -4x^2+ 3$ at $x = 2$.
Expand each of the following, using suitable identities : $(2 x-y+z)^{2}$
Find the remainder when $x^{3}+3 x^{2}+3 x+1$ is divided by $x+\pi$