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

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 $(x \in N)$.

$(x+1)$ is not one of the factors of .........

The product of the zeros of a quadratic polynomial $p(x) = x^{2} + 5x + 6$ is.........

Answer the following and justify: What will be the quotient and remainder on division of $ax^{2} + bx + c$ by $px^{3} + qx^{2} + nx + s$,where $p \neq 0$?

Find the zeros of the following quadratic polynomial: $p(x)=\sqrt{3} x^{2}-8 x+4 \sqrt{3}$