Identify the type of the following polynomial based on its degree: $p(x) = 7 - 5x$.

The zeros of the quadratic polynomial $p(x) = 3x^2 + 5x - 8$ are $\ldots \ldots \ldots \ldots$

The zeros of the quadratic polynomial are $-3$ and $4$. Which of the following represents this polynomial?

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 $q(x)$?

$A$ cubic polynomial $p(x) = 4x^3 - x$ has ...... zeros.

If the zeros of the cubic polynomial $p(x) = ax^3 + bx^2 + cx + d$ $(a \neq 0)$ are $\alpha, \beta,$ and $\gamma,$ then $\frac{1}{\alpha} + \frac{1}{\beta} + \frac{1}{\gamma} = \dots$