metadata
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. ✅