Define zero of a polynomial.

If the product of zeroes of the quadratic polynomial $\mathrm{f}\left(\mathrm{x}\right)={\mathrm{x}}^2-4\mathrm{x}+\mathrm{k}$ is $3$, find the value of $\mathrm{k}$.

If the sum of the zeros of the quadratic polynomial $\mathrm{f}\left(\mathrm{x}\right)={\mathrm{kx}}^2-3\mathrm{x}+5$ is $1$, write the value of $\mathrm{k}$.

In the figure below, the graph of a polynomial $\mathrm{p}\left(\mathrm{x}\right)$ is given. Find the zeroes of the polynomial.

The graph of a polynomial $\mathrm{y}=\mathrm{f}\left(\mathrm{x}\right)$, shown in the following figure. Find the number of real zeros of $\mathrm{f}\left(\mathrm{x}\right)$.