Last Updated on April 17, 2025 by XAM CONTENT
Hello students, we are providing assertion reason questions for class 10. Assertion Reason questions are the new question format that is introduced in CBSE board. The resources for assertion reason questions are very less. So, to help students we have created chapterwise assertion reason questions for class 10 maths. In this article, you will find assertion reason questions for CBSE Class 10 Maths Chapter 2 Polynomials. It is a part of Assertion Reason Questions for CBSE Class 10 Maths Series.
| Chapter | Polynomials |
| Type of Questions | Assertion Reason Questions |
| Nature of Questions | Competency Based Questions |
| Board | CBSE |
| Class | 9 |
| Subject | Maths |
| Useful for | Class 10 Studying Students |
| Answers provided | Yes |
| Difficulty level | Mentioned |
| Important Link | Class 10 Maths Chapterwise Assertion Reason |
Assertion Reason Questions on Polynomials
Directions:
In the questions given below, there are two statements marked as Assertion (A) and Reason (R).
Read the statements carefully and choose the correct option:
(A) Both A and R are true, and R is the correct explanation of A.
(B) Both A and R are true, but R is not the correct explanation of A.
(C) A is true, but R is false.
(D) A is false, but R is true.
Q1. Assertion (A): The degree of the polynomial $f(x)=4 x^3-2 x^2+x-7$ is 3 .
Reason (R): The degree of a polynomial is the highest power of the variable in the expression.
Difficulty Level: Medium
Ans. Option (A) is correct.
Explanation: The degree is determined by the highest power of xxx, which is 3. The reason correctly explains the assertion.
Q2. Assertion (A): If $\alpha$ and $\beta$ are the zeroes of the quadratic polynomial $x^2-7 x+10$, then $\alpha+\beta=7$ and $\alpha \beta=10$.
Reason (R): For a polynomial $a x^2+b x+c$, sum of zeroes $=-b / a$, and product $=c / a$.
Ans. Option (A) is correct.
Explanation: Using the identity, $\alpha+\beta=-(-7) / 1=7$, and $\alpha \beta=10 / 1=10$. The reason is the exact explanation.
Difficulty Level: Hard
Q3. Assertion (A): The zeroes of the polynomial $p(x)=x^2+4$ are real and distinct.
Reason (R): A quadratic polynomial always has real and distinct roots.
Ans. Option (D) is correct.
Explanation: The roots of $x^2+4=0$ are imaginary $\pm 2 i$. So the assertion is false, and the reason is also false-not all quadratics have real and distinct roots.
Difficulty Level: Hard
Q4. Assertion (A): The graph of a quadratic polynomial is always a parabola.
Reason (R): The degree of a quadratic polynomial is 2.
Difficulty Level: Medium
Ans. Option (B) is correct.
Explanation: While both statements are true, the degree being 2 is not the only reason why the graph is a parabola. (B) is the best match.
Q5. Assertion (A): A linear polynomial can have at most one zero.
Reason (R): The graph of a linear polynomial is a straight line which intersects the x-axis at most once.
Difficulty Level: Medium
Ans. Option (A) is correct.
Explanation: The line intersects the x-axis at one point (its zero). The reason correctly explains the assertion.
Also check
- Polynomials Class 10 Assertion Reason Questions Maths Chapter 2
- Real Numbers Class 10 Assertion Reason Questions Maths Chapter 1
🚀 Boost Your Exam Prep: Get assertion reason questions for all subjects (Class 6-12) now!
👉 Explore more resources on CBSE Class 10
Topics from which assertion reason questions may be asked
- Zeros of a Polynomial
- Relationship Between Coefficients and Zeros
- Division Algorithm
Polynomials are algebraic expressions that help us represent real-world relationships mathematically.
Assertion reason questions from the above given topic may be asked.
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Frequently Asked Questions (FAQs) on Polynomials Assertion Reason Questions Class 10
Q1: What does the chapter ‘Polynomials’ cover?
A1: It builds key concepts related to polynomials and prepares you for logical reasoning-based questions.
Q2: What are assertion reason questions?
A2: These consist of two statements: an assertion and a reason. Students need to determine their correctness and relationship.
Q3: Why practice assertion reason questions in Polynomials?
A3: They strengthen core concepts and boost confidence in tackling tricky scenarios from polynomials.
Q4: Are assertion reason questions part of CBSE board exams?
A4: Yes, they are included under competency-based formats to test depth of understanding.
