Show that :

$x+3$ is a factor of $69+11 x-x^{2}+x^{3}$.

State whether each of the following statements is true or false

$x^{2}-5 x+4$ is a linear polynomial.

Evaluate

$77 \times 83$

Degree of the polynomial $4 x^{4}+0 x^{3}+0 x^{5}+5 x+7$ is

For the polynomial

$\frac{x^{3}+2 x+1}{5}-\frac{7}{2} x^{2}-x^{6},$ write

$(i)$ the degree of the polynomial

$(ii)$ the coefficient of $x^{3}$

$(iii)$ the coefficient of $x^{6}$

$(iv)$ the constant term