Step 1: Polynomial Graph Analysis - Y-intercept: The point where the graph crosses the y-axis occurs when \( x = 0 \). The y-coordinate at this point represents the constant term of the polynomial. - X-intercepts: The points where the graph crosses the x-axis occur when \( y = 0 \). These points correspond to the real roots (or zeroes) of the polynomial.
Step 2: Information Interpretation - The graph intersects the x-axis at two distinct points. This directly implies that the polynomial has two real roots. - The y-intercept confirms the constant term but does not contribute to the number of real roots.
Step 3: Determination of Zeroes Based on the two x-intercepts, the polynomial possesses exactly two real zeroes.
Final Determination: The polynomial has 2 real zeroes.