Identify the type of the following polynomial based on its degree: $p(x) = 7x^2 - 5x^3 + 3$.

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 $p(x)$.

The product of two polynomials is $x^{2}-x-72$ and if one of the polynomials is $(x+8)$,then the other polynomial is $\ldots \ldots \ldots \ldots . .$

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

For $p(x) = 3x^3 + 2x^2 + 7x + 8$,$p(-1) = \dots$

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