If $x+2$ is a factor of $x^{3}+a x^{2}-x+30,$ find the value of $a$.

Determine the degree of each of the following polynomials:

$-10$

With the help of the remainder theorem, find the remainder when the polynomial $x^{3}+x^{2}-26 x+24$ is divided by each of the following divisors

$x+4$

With the help of the remainder theorem, find the remainder when the polynomial $x^{3}+x^{2}-26 x+24$ is divided by each of the following divisors

$x+1$

State whether each of the following statements is true or false

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

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

$\sqrt{2} x-1$