The graph of $\ldots \ldots \ldots$ is a curve open upwards.

The coefficient of the underlined term of $p(x) = 7 - \underline{5x^4} - 2x^3 - x^2$ is $\ldots \ldots$

Examine the validity of the statement: $(x+3)$ is a factor of $x^{3}+6x^{2}+5x-12$.

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

Draw the graph of $p(x) = x^3 - 2x^2$ and find the zeros of this polynomial.

If the zeros of the cubic polynomial $p(x) = ax^3 + bx^2 + cx + d$ $(a \neq 0, a, b, c, d \in R)$ are $\alpha, \beta,$ and $\gamma$,then $\alpha\beta + \beta\gamma + \gamma\alpha = \dots$