For $p(x) = x^{2} - 2x - 3$,$p(3) = \ldots \ldots \ldots . .$

Verify that $\frac{-2}{3}$ is a zero of the linear polynomial $p(x)=3x+2$.

Obtain the sum and the product of the zeros of the following quadratic polynomial without finding the zeros: $x^{2}-7x+10$.

The zeros of the quadratic polynomial $p(x) = x^{2} - 3x + 2$ are $\alpha$ and $\beta$. Then,$\frac{1}{\alpha} + \frac{1}{\beta} = \ldots$

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 $\alpha\beta + \beta\gamma + \gamma\alpha = \ldots$

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 $\alpha \beta \gamma = \dots$