Last Updated on May 15, 2025 by XAM CONTENT
Understanding the key concepts of Class 9 Maths Chapter 2 – Polynomials is crucial for exam success. To make your revision easier, we have created chapterwise mcq questions with Answers for class 9 Maths based on the latest syllabus and exam pattern. It is a part of MCQ Questions for CBSE Class 9 Maths Series.
These multiple-choice questions will help you assess your knowledge, improve accuracy, and boost confidence for your exams. Whether you are preparing for school tests, online tests or competitive exams, these Polynomials MCQs will strengthen your conceptual clarity.
| Chapter | Polynomials |
| Book | Maths Textbook for Class 9 |
| Type of Questions | MCQ Questions |
| Nature of Questions | Competency Based Questions |
| Board | CBSE |
| Class | 9 |
| Subject | Maths |
| Useful for | Class 9 Studying Students |
| Answers provided | Yes |
| Difficulty level | Mentioned |
| Important Link | Class 9 Maths Chapterwise MCQ Questions |
MCQ Questions on Polynomials Class 9 Maths (PDF Download)
MCQs
Q1. Which of the following expressions is not a polynomial?
(a) 3x2 – 2x + 7
(b) x3 + x1/2 + 1
(c) 5x3 + 2
(d) 4x + 9
Show Answer
Answer: (b)
Explanation: x1/2 is not a whole number exponent, hence the expression is not a polynomial.
Q2. The degree of the polynomial p(x) = 7x3 – 4x2 + x – 5 is:
(a) 1
(b) 2
(c) 3
(d) 0
Show Answer
Answer: (c)
Explanation: The highest exponent of x in the polynomial is 3, so the degree is 3.
Q3. Which of the following is a linear polynomial?
(a) x2 + 2
(b) 5x + 7
(c) x3 – x + 1
(d) x4
Show Answer
Answer: (b)
Explanation: 5x + 7 is a linear polynomial as its degree is 1.
Q4. The number of zeroes of the polynomial p(x) = 2x + 1 is:
(a) 0
(b) 1
(c) 2
(d) Infinite
Show Answer
Answer: (b)
Explanation: A linear polynomial has exactly one zero.
Q5. Which of the following is a factor of the polynomial x2 – 9?
(a) x + 3
(b) x2 + 9
(c) x + 9
(d) x – 1
Show Answer
Answer: (a)
Explanation: x2 – 9 = (x + 3)(x – 3).
Q6. If (x – 2) is a factor of the polynomial x2 – 5x + k, then the value of k is:
(a) 4
(b) 3
(c) 6
(d) 2
Show Answer
Answer: (a)
Explanation: Putting x = 2 in the polynomial, we get 4 – 10 + k = 0 ⟹ k = 6.
Q7. Which of the following is a quadratic polynomial?
(a) x – 1
(b) 5x2 + 3x + 1
(c) 2x3 + x
(d) 1/x
Show Answer
Answer: (b)
Explanation: A quadratic polynomial has degree 2, and 5x2 + 3x + 1 fits that.
Q8. The value of the polynomial p(x) = x2 – 4x + 3 at x = 1 is:
(a) 0
(b) 1
(c) 5
(d) -2
Show Answer
Answer: (b)
Explanation: Substituting x = 1, we get 1 – 4 + 3 = 0.
Q9. The identity (x + y)2 equals:
(a) x2 + y2
(b) x2 + 2xy + y2
(c) x2 + xy + y2
(d) x + y
Show Answer
Answer: (b)
Explanation: The standard identity (x + y)2 = x2 + 2xy + y2.
Q10. Which expression represents a trinomial?
(a) 2x
(b) x + 2
(c) x2 + 3x + 5
(d) x3 + 4
Show Answer
Answer: (c)
Explanation: Trinomials have three terms; x2 + 3x + 5 is a trinomial.
Q11. Which term in the polynomial 5x3 – 3x2 + 2x – 7 has the coefficient -3?
(a) x3
(b) x2
(c) x
(d) Constant term
Show Answer
Answer: (b)
Explanation: The term with x2 has coefficient -3.
Q12. What is the zero of the polynomial p(x) = 3x – 6?
(a) 2
(b) 1
(c) -2
(d) 3
Show Answer
Answer: (a)
Explanation: Set 3x – 6 = 0 ⟹ x = 2.
Q13. Which identity helps in factoring x2 – y2?
(a) (x + y)2
(b) x2 + y2
(c) x2 – y2 = (x + y)(x – y)
(d) (x – y)2
Show Answer
Answer: (c)
Explanation: The identity x2 – y2 = (x + y)(x – y) is used.
Q14. What is the degree of the constant polynomial 9?
(a) 1
(b) 0
(c) Not defined
(d) -1
Show Answer
Answer: (b)
Explanation: Degree of a non-zero constant polynomial is 0.
Q15. If p(x) = x2 – 5x + 6, then which of the following is a zero?
(a) 1
(b) 2
(c) 4
(d) 5
Show Answer
Answer: (b)
Explanation: x = 2 satisfies the equation: 22 – 5×2 + 6 = 0
Q16. Which of the following is NOT a binomial?
(a) 3x + 2
(b) x – 4
(c) x2 + x + 1
(d) 5y – 3
Show Answer
Answer: (c)
Explanation: It has three terms, so it’s a trinomial.
Q17. Which polynomial has more than one zero?
(a) x + 1
(b) 2x
(c) x2 – 1
(d) 5
Show Answer
Answer: (c)
Explanation: x2 – 1 = (x – 1)(x + 1) has two zeroes: x = 1 and x = -1.
Q18. Factorisation of x2 + 5x + 6 is:
(a) (x + 2)(x + 3)
(b) (x + 1)(x + 6)
(c) (x – 2)(x – 3)
(d) (x – 1)(x – 6)
Show Answer
Answer: (a)
Explanation: Sum = 5, Product = 6 ⟹ factors are 2 and 3.
Q19. Identity for (x – y)3 is:
(a) x3 – y3 – 3xy(x – y)
(b) x3 + y3
(c) x2 – y2
(d) x2 + y2 + 2xy
Show Answer
Answer: (a)
Explanation: (x – y)3 = x3 – y3 – 3xy(x – y)
Q20. Which of the following has undefined degree?
(a) x
(b) 2
(c) 0
(d) 0 polynomial
Show Answer
Answer: (d)
Explanation: The degree of the zero polynomial is not defined.
We hope the given mcq questions with Answers for Polynomials Class 9 helps you in your learning.
Also check
- Introduction to Euclid’s Geometry – Class 9 Maths Chapter 5 MCQ Questions with Answers (Updated)
- Linear Equations in Two Variables – Class 9 Maths Chapter 4 MCQ Questions with Answers (Updated)
- Coordinate Geometry – Class 9 Maths Chapter 3 MCQ Questions with Answers (Updated)
- Polynomials – Class 9 Maths Chapter 2 MCQ Questions with Answers (Updated)
- Number Systems – Class 9 Maths Chapter 1 MCQ Questions with Answers (Updated)
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Topics from which mcq questions may be asked
- Algebraic identities
- Degree and types of polynomials
- Zeroes of polynomials
Polynomials are powerful algebraic expressions used to model real-world problems.
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Frequently Asked Questions (FAQs) on Polynomials MCQ Questions
Q1: What are MCQ questions in Class 9 Maths?
A1: MCQ (Multiple Choice Questions) in Class 9 Maths are objective-type questions where students choose the correct answer from four options. They test conceptual understanding, application, and reasoning skills.
Q2: Are these Class 9 Maths MCQs based on the latest CBSE syllabus?
A2: Yes, all MCQ questions provided are strictly based on the latest CBSE Class 9 Maths syllabus and follow the current NCERT textbook.
Q3: Are Class 9 Maths MCQ questions useful for board exam preparation?
A3: Yes, practicing MCQ questions helps build strong conceptual understanding and improves performance in school tests, Olympiads, and board-level competency assessments.
Q4: Do these MCQs include answers and explanations?
A4: Absolutely. Each MCQ question includes the correct answer along with a detailed explanation to help students understand the concept behind the question.
Q5: Where can I find the best MCQ questions for Class 9 Maths?
A5: You can find high-quality, CBSE-based MCQ questions for Class 9 Maths on trusted educational websites like xamcontent.com. These include chapterwise, topicwise, and competency-based questions aligned with the latest syllabus
Q6: Are there any resources available online for students to practice mcq questions on class 9 maths chapter 2 “Polynomials“ for CBSE exams?
A6: Yes, several educational websites offer mcq questions for CBSE students preparing for science examinations. We also offer a collection of mcq questions for all classes and subject on our website. Visit our website to access these questions and enhance your learning experience. for more mcq, you can also visit Physics Gurukul Website.
