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

The zeros of the quadratic polynomial $p(x) = x^{2} - 3x + 2$ are $\alpha$ and $\beta$. Then,$\frac{1}{\alpha} + \frac{1}{\beta} = \ldots$

Find the zeros of the following quadratic polynomial: $p(x)=\sqrt{3} x^{2}-8 x+4 \sqrt{3}$

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

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

The maximum number of zeros of $p(x) = ax^4 + bx^3 + cx^2 + dx + e$ where $a \neq 0$ and $a, b, c, d, e \in R$ can be: