Identify the type of the given polynomial based on its degree: $p(x) = 2012x + 2011$.

Divide the following by the synthetic division method: $p(x) = x^{3} - 3x^{2} - 3x + 1$ by $x + 1$.

If the zeros of the cubic polynomial $p(x) = ax^3 + bx^2 + cx + d$ $(a \neq 0, a, b, c, d \in R)$ are $\alpha, \beta,$ and $\gamma$,then $\alpha + \beta + \gamma = \ldots$

$A$ quadratic polynomial, whose zeroes are $-3$ and $4,$ is

The value of $p(x) = 3x^2 + 7x + 4$ at $x = 1$ is:

For which values of $a$ and $b$ are the zeroes of $q(x) = x^{3} + 2x^{2} + a$ also the zeroes of the polynomial $p(x) = x^{5} - x^{4} - 4x^{3} + 3x^{2} + 3x + b$? Which zeroes of $p(x)$ are not the zeroes of $q(x)$?