If $x+5$ is a factor of $x^{3}+13x^{2}+ax+35$,find the value of $a$.

Classify the following as linear,quadratic,or cubic polynomial: $4y + 11$.

Expand $(2a + 3b)^2$.

From the following polynomials,find out which of them has $(x-1)$ as a factor:
$p(x) = 2x^3 + 5x^2 - x - 6$

Which of the following expressions are polynomials in one variable and which are not? State the reason for your answer. If the given expression is a polynomial,state whether it is a polynomial in one variable or not.
$x^{2} + x - 3 + \frac{4}{x}$

Find the quotient and the remainder when $x^{3}+x^{2}-10x+8$ is divided by $x-2$.