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

The zeros of the cubic polynomial $p(x) = ax^3 + bx^2 + cx + d$; where $a \neq 0$ and $a, b, c, d \in R$,are $\alpha, \beta$,and $\gamma$. Then $\alpha + \beta + \gamma = \ldots$

Which of the following is not the graph of a quadratic polynomial?

The zeros of the quadratic polynomial are $-3$ and $4$. Which of the following represents this 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 $p(x)$.

Is the following statement True or False? Justify your answer. If the zeroes of a quadratic polynomial $ax^2 + bx + c$ are both negative,then $a, b,$ and $c$ all have the same sign.