To determine the number of zeroes of the polynomial \(p(x)\), we need to observe the points where the graph of the polynomial intersects the X-axis. These points represent the zeroes of the polynomial.
The graph of the polynomial \(p(x)\) intersects the X-axis at three distinct points. Each intersection point where the graph crosses the X-axis corresponds to a zero of the polynomial.
Therefore, the number of zeroes of the polynomial is equal to the number of intersections with the X-axis. In this case, the graph intersects the X-axis three times.
Thus, the number of zeroes of \(p(x)\) is \(3\).
The correct answer is 3.
This question tests your ability to interpret the graphical representation of polynomials and identify their zeroes by finding the intersection points with the X-axis.
