📚 CBSE Grade-10 Study Guide Open in the Study Guide single page app →
HomeMathematics

Mathematics — CBSE Class 10 board question

Q1. [1]
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
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

---

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.

If a question refers to an image, map, graph or diagram that is not shown here, open the Study Guide single page app, go to Library and find the actual CBSE question paper. The original papers are also available on the CBSE website: cbse.gov.in.
Previous-year CBSE Grade 10 board exam questions, organised by subject and chapter, each with a model answer — free to read and print.