Find the zeros of the following quadratic polynomial: $p(x) = 4x^2 - 256$.

Examine the validity of the following statement: $(x-2)$ is a factor of $x^{3}+5x^{2}-2x-25$.

Prove that $-2$,$4$,and $\frac{1}{2}$ are the zeros of the cubic polynomial $p(x) = 2x^3 - 5x^2 - 14x + 8$. Also,verify the relationship between the zeros and the coefficients.

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

Divide $2 t^{4}+3 t^{3}-2 t^{2}-9 t-12$ by $t^{2}-3$.

The zero of the linear polynomial $p(x) = \sqrt{3}x - 3$ is ............