From the following figure,find the number of zeros of $y=p(x)$ :

(4) The number of zeros of a polynomial $p(x)$ is equal to the number of points where the graph of $y=p(x)$ intersects the $X-$axis.
By observing the given graph,we can see that the curve intersects the $X-$axis at $4$ distinct points.
Therefore,the number of real zeros of $p(x)$ is $4$.