Factorise :

$6 x^{2}+7 x-3$

Write the degree of each of the following polynomials

$x^{50}-1$

$\sqrt{2}$ is a polynomial of degree

If the polynomials $a z^{3}+4 z^{2}+3 z-4$ and $z^{3}-4 z+a$ leave the same remainder when divided by $z-3,$ find the value of $a$.

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