The zero of $p(x) = -x^2 + 2x - 1$ 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 $(x \in N)$.

Find the value of $p(x) = 2x^3 + x^2 - x - 1$ at $x = 0$ and $x = -2$.

Find the number of real zeros of the following polynomial: $p(x) = 4x^2 + 11x + 10$.

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

If one zero of the quadratic polynomial $x^{2}+3x+k$ is $2$,then the value of $k$ is