The degree of $p(x) = \dots$ is $5$. Which of the following polynomials satisfies this condition?

For the quadratic polynomial $p(x) = ax^2 + bx + c$; if $a = 6$,$b = 11$,and $c = 4$,then the quadratic polynomial is..........

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 $(x \in N)$.

The value of $p(x) = 4x^3 + 3x^2 + 2x + 1$ at $x = 1$ is $\ldots \ldots \ldots$

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

If the sum of the zeros is $2$ and the product of the zeros is $3,$ then the quadratic polynomial is........