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

(0) The number of zeros of a polynomial $y=p(x)$ is equal to the number of points where the graph of the polynomial intersects the $X-$axis.
In the given figure,the graph of $y=p(x)$ lies entirely above the $X-$axis and does not intersect or touch the $X-$axis at any point.
Therefore,the number of real zeros of the polynomial $p(x)$ is $0$.