Verify that $\frac{-2}{3}$ is a zero of the linear polynomial $p(x)=3x+2$.

Which of the following statements is true?

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

Given that two of the zeroes of the cubic polynomial $ax^3 + bx^2 + cx + d$ are $0$,the third zero is

Answer the following and justify:
Can the quadratic polynomial $x^{2}+kx+k$ have equal zeroes for some odd integer $k > 1$?

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 $(x \in N)$.