NCERT Solutions for Class 10 Maths Chapter 2 Polynomials: Exercise 1

Question 1. The graphs of y = p(x) are given in Fig. below, for some polynomials p(x). Find the number of zeroes of p(x), in each case.

Solution:

So, we have equation y = p(x). When p(x) = 0, y = 0. 

That means we only need to find the number of times we get y = 0 in the graph.

In other words, the number of times the graph intersects the x-axis is the answer.

(i) 0. Because the graph doesn’t intersect the x-axis.

(ii) 1. Because the graph intersects the x-axis only at one point.

(iii) 3. Because the graph intersects the x-axis at three points.

(iv) 2. Because the graph intersects the x-axis at two points.

(v) 4. Because the graph intersects the x-axis at four points.

(vi) 3. Because the graph intersects the x-axis at three points.

NCERT Solutions for Class 10 Maths Chapter 2 Polynomials- This article is an important resource created by the GFG team of experts to help students solve problems in the NCERT Textbook in an easy manner. It contains free NCERT Solutions for Class 10 Maths Chapter 2 Polynomials, as per the latest CBSE syllabus 2023-2024 and guidelines.

Chapter 2 Polynomials of NCERT Class 10 Maths deal majorly in topics such as fundamental aspects of polynomials. Students learn about the basic definitions, terms, coefficients, and degrees of polynomials. They study several polynomial varieties and comprehend polynomial operations including addition, subtraction, multiplication, and division. Factorization methods for quadratic polynomials are introduced, along with concepts like the factor theorem and remainder theorem. The chapter also delves into finding zeros of polynomials.

All the solutions to NCERT Class 10 Maths Chapter 2 Polynomials exercises have been covered in NCERT Solutions for Class 10 Maths.