The maximum number of zeros of $p(x) = ax^4 + bx^3 + cx^2 + dx + e$ where $a \neq 0$ and $a, b, c, d, e \in R$ can be:

For the given sum and product of zeroes,find a quadratic polynomial. Also,find the zeroes of this polynomial by factorisation:
Sum of zeroes = $\frac{-3}{2 \sqrt{5}}$,Product of zeroes = $-\frac{1}{2}$

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

The number of real zeros of $y=p(x)$ is .......... in the given figure.

Answer the following and justify:
If on division of a polynomial $p(x)$ by a polynomial $g(x)$,the quotient is zero,what is the relation between the degrees of $p(x)$ and $g(x)$?

There are $x^{2}-2$ students in the class. $x^{3}-3x^{2}+5x-3$ chocolates are distributed between them. Each student should get the maximum possible number of chocolates. Find the number of chocolates received by each student and the number of chocolates left undistributed $(x \in N)$.