---
source: ncert_exercises
topic: algebra
class_level: class_10
chapter: ch2
exercise: ex2.1
difficulty: beginner
---

Class 10 | Ch2: Polynomials | Exercise 2.1

Key: Geometrical meaning of zeroes — where graph cuts/touches x-axis.
Number of zeroes = number of times graph crosses x-axis.

Q1. The graphs of y=p(x) are given. Find the number of zeroes of p(x) in each case.
Answer:
(i) Graph does not intersect x-axis → 0 zeroes. ✅
(ii) Graph intersects x-axis at 1 point → 1 zero. ✅
(iii) Graph intersects x-axis at 3 points → 3 zeroes. ✅
(iv) Graph intersects x-axis at 2 points → 2 zeroes. ✅
(v) Graph intersects x-axis at 4 points → 4 zeroes. ✅
(vi) Graph intersects x-axis at 3 points → 3 zeroes. ✅