The graph of $p(x) = x^{2} + 6x + 8$ is a ........

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 number of the zeros of $p(x) = x^{2} - 9$ is............

If the remainder on division of $x^{3}+2 x^{2}+k x+3$ by $x-3$ is $21$,find the quotient and the value of $k$. Hence,find the zeroes of the cubic polynomial $x^{3}+2 x^{2}+k x-18$.

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

From the following figure,find the number of zeros of $y=p(x)$ :