Identify the type of the given polynomial based on its degree: $p(x) = 9x^{2} + \frac{7}{2}x^{3} + 5$.

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

If $x+4$ is a factor of the polynomial $x^{2}+7x+m$,then $m = $ . . . . . .

Verify that the numbers given alongside the cubic polynomials below are their zeroes. Also,verify the relationship between the zeroes and the coefficients in each case: $x^{3}-4x^{2}+5x-2; 2, 1, 1$.

The zeros of $p(x) = 3x^2 - x - 4$ are $\alpha$ and $\beta$,then $\alpha^2 \beta + \alpha \beta^2 = \ldots$

Identify the type of the following polynomial based on its degree: $p(x) = \frac{3}{2} - 0.75x - x^{2}$