The zero of the linear polynomial $p(x) = ax + b$ is $\ldots \ldots \ldots \ldots$ $(a, b \neq 0)$.

The product of the zeros of a quadratic polynomial $p(x) = 3x^2 + 7x + 4$ is..........

The sum of the zeros of a quadratic polynomial $p(x) = x^{2} + 3x + 2$ is ...........

If $2x^3 - x^2 - 2x - 8$ is divided by $x - 2$,then the quotient polynomial is............

Obtain a quadratic polynomial with the following conditions:
The sum of the zeros $= \frac{1}{4}$;
The product of the zeros $= -1$.

Verify that $3, -1, -\frac{1}{3}$ are the zeroes of the cubic polynomial $p(x) = 3x^3 - 5x^2 - 11x - 3$,and then verify the relationship between the zeroes and the coefficients.