Find the zeros of the following quadratic polynomial: $5x^2 + 8x + 3$.

One of the factors of $p(x) = x^{3} - 3x^{2} + 9x - 27$ is.........

There are $x^{3}-3x^{2}+4x-4$ pens to be distributed in a class of $x-2$ students. Each student should get the maximum possible number of pens. Find the number of pens received by each student and the number of pens left undistributed $(x \in N)$.

Prove that $1/2, 1$ and $-2$ are the zeros of the cubic polynomial $p(x) = 2x^3 + x^2 - 5x + 2$. Also,verify the relationship between the zeros and the coefficients.

Divide $x^{3}-6 x^{2}+11 x-6$ by $x^{2}+x+1$.

The sum of the zeros of $x^{2}+7x+12$ is .............