$x+1$ is a factor of the polynomial

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

$y^{3}-y$

The degree of polynomial $7 x^{5}-4 x^{4}+2\left(x^{3}\right)^{2}-x^{2}+35$ is $\ldots \ldots \ldots$

Write whether the statement are True or False. Justify your answer.

Zero of a polynomial is always $0.$

With the help of the remainder theorem. find the remainder when the polynomial $x^{3}+7 x^{2}+17 x+25$ is divided by $x+4$