The sum of the zeros of $p(x) = 4x^2 + 12x + 5$ is.........

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

One of the factors of $\ldots \ldots \ldots \ldots$ is $(x-1).$

State the degree of the following polynomial: $p(x) = 5x^8 - 6(x^2)^5 - 4x^3 - 14$.

Given that the zeroes of the cubic polynomial $x^{3}-6x^{2}+3x+10$ are of the form $a, a+b, a+2b$ for some real numbers $a$ and $b$,find the values of $a$ and $b$ as well as the zeroes of the given polynomial.

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 $(x \in N)$.