Step 1: Understanding the Graph.
The number of zeroes of a polynomial corresponds to the number of times the graph of the polynomial intersects the \( x \)-axis. The zeroes are the points where \( y = 0 \), i.e., where the graph touches or crosses the \( x \)-axis.
Step 2: Interpreting the Graph.
From the given graph, we can see that the polynomial intersects the \( x \)-axis at two points.
Step 3: Conclusion.
Thus, the number of zeroes of the polynomial is 2.