Find the degree of the polynomial given: $2 - y^{2} - y^{3} + 2y^{8}$

Is the following expression a polynomial? Justify your answer:
$8$

Classify the following as linear,quadratic,or cubic polynomial:
$8x^{3} - 343$

Write the coefficient of $x^{2}$ in the following polynomial:
$4+7x+3x^{2}$

By the Remainder Theorem,find the remainder when $p(x)$ is divided by $g(x)$,where $p(x) = x^{3} - 3x^{2} + 4x + 50$ and $g(x) = x - 3$.

Which one of the following is a polynomial?