The degree of the polynomial $p(x) = x^2 - x^3 + x + 1$ is $\ldots \ldots \ldots . .$

If $\sqrt{2}$ and $-\sqrt{2}$ are the zeros of $p(x) = 2x^{4} + 7x^{3} - 19x^{2} - 14x + 30$,then find the other zeros of $p(x)$.

Identify the type of the given polynomial based on its degree: $p(x) = 9x^{2} + \frac{7}{2}x^{3} + 5$.

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

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.

For $p(x) = x^{2} - 2x - 3$,$p(3) = \ldots \ldots \ldots . .$