The graph of linear polynomial $p(x) = 3x - 6$ intersects the $X$-axis at $\ldots......$

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 $(x \in N)$.

State the degree of the given polynomial: $p(x) = x^{2} - \sqrt{3}x^{3} + 4x^{7} + 9$.

If the zero of the polynomial $p(x) = 3x^{3} - x^{2} - ax - 45$ is $3$,then $a = \dots$

Find the zeros of the following quadratic polynomial: $p(x) = x^{2} + x - 12$.

Find the zeros of the following quadratic polynomial: $p(x) = 3x^2 + 15x$. (in $, -5$)