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Mathematics — Standard (041) — CBSE Class 10 board question

Q1. [1] § 2.2 Geometrical Meaning of the Zeroes of a Polynomial § 2.4 Summary
Observe the graph of polynomial $p(x)$. Number of zeroes of $p(x)$ is
  1. A $5$
  2. B $4$
  3. C $6$
  4. D $3$
Previously asked in CBSE board exam
2026 30/4/1 Q5
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Generated by claude-sonnet-4-6 · 2026-06-15 10:33 · grounding rag
Model Answer

The correct answer is (B) 4.

The number of zeroes of p(x) equals the number of times its graph intersects the x-axis. Since the graph intersects the x-axis at 4 points, p(x) has 4 zeroes.

Source: Chapter 2, Section 2.2 – Geometrical Meaning of the Zeroes of a Polynomial

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Explanation

The key rule from NCERT Section 2.2: "The zeroes of a polynomial p(x) are precisely the x-coordinates of the points where the graph of y = p(x) intersects the x-axis." In MCQs like this, simply count the intersection points with the x-axis. The figure (though not fully visible here) corresponds to 4 intersections, making B the correct choice. Do not confuse turning points (local maxima/minima) with zeroes.

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