📘 SCERT Assam Class 10 Maths Chapter 2 Polynomials Exercise 2.1 Solutions (2026–2027) – English Medium

✅ SEBA Class 10 Maths Exercise 2.1 Solutions – Digital Pipal Academy

Looking for SCERT Assam Class 10 Maths Chapter 2 Polynomials Exercise 2.1 Solutions (English Medium 2026–2027)?

Digital Pipal Academy provides step-by-step, exam-oriented solutions based on the latest SCERT Assam / SEBA syllabus, helping students understand concepts clearly and score high marks.

1. The graphs of \(y = p(x)\) are given in Fig. 2.10 below, for some polynomials \(p(x)\). Find the number of zeroes of \(p(x)\) in each case.

Fig. 2.10

Solution:

Rule: The number of zeroes of a polynomial \(p(x)\) is the number of points where the graph intersects or touches the x-axis.

(i): The graph is a horizontal line parallel to the x-axis. It does not intersect the x-axis.
Number of zeroes = 0

(ii): The graph intersects the x-axis at only one point.
Number of zeroes = 1

(iii): The graph intersects the x-axis at three points.
Number of zeroes = 3

(iv): The graph (parabola) intersects the x-axis at two points.
Number of zeroes = 2

(v): The graph intersects the x-axis at four points.
Number of zeroes = 4

(vi): The graph touches/intersects the x-axis at three points.
Number of zeroes = 3

 

 

About the Content Reviewer

Hi, I'm Sudev Chandra Das (B.Sc. Mathematics), Founder of Digital Pipal Academy. I help students understand concepts in a simple, practical, and effective way. Consistency and smart learning always win.

 

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🔥 Why This Page is Important for You

✔️ Based on latest 2026–2027 syllabus

✔️ Simple explanations for quick understanding

✔️ Covers all important questions

✔️ Perfect for board exam preparation

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📚 Chapter 2: Polynomials – Quick Concept

In Exercise 2.1, you mainly learn:

What is a polynomial

Degree of a polynomial

Types of polynomials (linear, quadratic, cubic)

Finding number of zeroes using graphs

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✍️ Exercise 2.1 – Complete Solutions

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🔹 Question 1: Identify the number of zeroes from graphs

👉 To solve these questions:

Count how many times the graph intersects the x-axis

Each intersection = one zero

📌 Example Explanation:

Graph cuts x-axis at 2 points → 2 zeroes

Graph touches x-axis once → 1 zero

No intersection → 0 zeroes

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📊 Understanding Graphs of Polynomials

A polynomial can have:

0 zeroes (no intersection)

1 zero (touches or crosses once)

2 or more zeroes (multiple intersections)

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🎯 Key Concept Formula

\text{Number of zeroes of a polynomial} = \text{Number of points where graph intersects the x-axis}

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🧠 Important Exam Tips

Always check graph carefully

Practice factorization regularly

Don’t skip steps in answers

Revise definitions (very important)

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❓ FAQs (SEO Booster Section)

Q1. What is Exercise 2.1 in Class 10 Maths Assam?

It covers basics of polynomials and number of zeroes using graphs.

Q2. Is Exercise 2.1 important for board exam?

Yes, basic concepts are frequently asked in exams.

Q3. How to find number of zeroes?

By counting x-axis intersections in graph.

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📥PDF Download

👉 Download Exercise 2.1 Solutions PDF (Add your link here)

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🏆 Conclusion

These Exercise 2.1 solutions from Digital Pipal Academy will help you build a strong foundation in Polynomials. Master the basics now to easily solve advanced questions in upcoming exercises.