$p(x) = 3x^2 + 7x + 4$ is a $\dots$ polynomial.

If the polynomial $p(x)$ is divided by $x^{2}+4x+2$, then the quotient polynomial $x^{2}-4x+14$ and the remainder polynomial $9x-13$ are obtained. Find the polynomial $p(x)$.

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

If the zero of the polynomial $p(x) = ax^2 - 11x + 3$ is $1$,then $a = \ldots$

Divide $x^{6}+5 x^{3}+7 x+3$ by $x^{2}+2$.

The zeros of $p(x) = x^{2} + 4x + 3$ are.........