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

Find the value of $p(x) = 2x^3 + x^2 - x - 1$ at $x = 0$ and $x = -2$.

Are the following statements 'True' or 'False'? Justify your answers.
If two of the zeroes of a cubic polynomial are zero,then it does not have linear and constant terms.

Are the following statements 'True' or 'False'? Justify your answers.
The only value of $k$ for which the quadratic polynomial $k x^{2}+x+k$ has equal zeros is $\frac{1}{2}$.

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

Factorize the following polynomial: $p(x) = x^{3} - 4x^{2} + 5x - 20$.