Identify the type of the given polynomial based on its degree: $p(x) = (x - 1)(2 - x)$

If the zeroes of the quadratic polynomial $ax^{2} + bx + c, c \neq 0$ are equal,then

Divide $x^{6}+5 x^{3}+7 x+3$ by $x^{2}+2$.

State the degree of the given polynomial: $p(x) = x^{2} - \sqrt{3}x^{3} + 4x^{7} + 9$.

State the degree of the given polynomial: $p(x) = \frac{7}{2} x - 9$

The zeros of 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 $\alpha\beta + \beta\gamma + \gamma\alpha = \ldots$