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

Find the zeroes of the following polynomial by the factorisation method and verify the relationship between the zeroes and the coefficients of the polynomial:
$y^{2}+\frac{3}{2} \sqrt{5} y-5$

The product of the zeros of a quadratic polynomial $p(x) = x^{2} + 5x + 6$ is.........

The value of $p(x) = 4x^3 + 3x^2 + 2x + 1$ at $x = 1$ is $\ldots \ldots \ldots$

Find the division of the following by synthetic division method: $p(x) = x^{3} - 4x^{2} + 5x + 3$ by $x - 2$.

The maximum number of zeros of a polynomial having degree $k+1$ can be........