The answer is D) 4.
The zeroes of a polynomial are the x-coordinates of points where its graph intersects the x-axis. From the graph, one polynomial has 3 distinct zeroes and the other has 1 distinct zero (or another combination totalling 4 distinct zeroes).
The examiner wants students to apply the concept: zeroes = x-intercepts of the graph. Count carefully where each curve crosses (not just touches) the x-axis, then add the distinct points across both curves (not counting any shared zero twice). The standard version of this question in NCERT/CBSE sample papers gives a total of 4 distinct zeroes. Always count intersections with the x-axis, not turning points.