If $x^{51}+51$ is divided by $x+1,$ the remainder is

Verify whether the following are True or False:

$\frac{-4}{5}$ is a zero of $4-5 y$

On dividing $p(x)=x^{3}+2 x^{2}-5 a x-7$ by $(x+1),$ the remainder is $R _{1}$ and on dividing $q(x)=x^{3}+a x^{2}-12 x+6$ by $(x-2), \quad$ the remainder is $R _{2} .$ If $2 R _{1}+ R _{2}=6,$ then find the value of $a$.

Write the coefficient of $x^{2}$ in the following polynomials

$\sqrt{3} x^{2}+11$

Verify whether $3$ and $7$ are zeros of the polynomial $x^{2}-5 x-14$ or not.

Classify the following as a constant, linear,quadratic and cubic polynomials:

$5 t-\sqrt{7}$