Obtain the value of the following polynomial at the given value of $x$: $p(x) = 2x^4 - x^2 + 5x - 8$ at $x = -3$.

If $1$ and $3$ are the zeros of the polynomial $p(x) = 2x^4 - 7x^3 - 13x^2 + 63x - 45$,then find the remaining zeros of $p(x)$.

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

What must be subtracted from $8x^4 + 14x^3 - 2x^2 + 8x - 12$ so that the resulting polynomial is exactly divisible by $4x^2 + 3x - 2$?

The product of two polynomials is $x^{2}+8x+15$. If one of the polynomials is $(x+3)$,then the other polynomial is $\ldots \ldots$

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 $(x \in N)$.