Important Polynomials MCQs for Class 9: Questions, Solutions & Tips
Practicing Class 9 Maths Chapter 2 Polynomials MCQs boosts your confidence and helps you master core algebra topics, especially for CBSE and exam preparation. This page provides a well-structured set of multiple-choice questions on polynomials, along with clear solutions and explanations. Use these MCQs to test your understanding, identify knowledge gaps, and improve your speed.
Understanding Class 9 Maths Chapter 2 Polynomials MCQs
A polynomial is an algebraic expression made up of one or more terms, each term consisting of variables raised to whole number exponents and multiplied by coefficients. Polynomials are widely used in mathematics for expressing equations, problem-solving, and representing real-world scenarios. The MCQ format challenges students on key concepts such as the degree of a polynomial, types of polynomials (monomial, binomial, trinomial), zeroes, and value calculations.
Key Concepts of Polynomials for Class 9
Before starting MCQ practice, revise these core ideas:
2. Degree of a polynomial is the highest power of its variable.
3. Types: Monomial (one term), Binomial (two terms), Trinomial (three terms).
4. Constant polynomials have no variable (degree 0), like 5.
5. Zeroes (roots) of a polynomial are the values of the variable for which the polynomial equals zero.
Class 9 Maths Chapter 2 Polynomials MCQs with Answers
Practice these representative MCQs. Answers and explanations are provided for step-by-step learning.
a) One Variable b) Two Variables c) Three Variables d) None
Answer: a
Explanation: It only has powers of x; hence, one variable.
2. The coefficient of \( x^2 \) in \( 3x^3 + 2x^2 - x + 1 \) is:
a) 1 b) 2 c) 3 d) -1
Answer: b
Explanation: The term with \( x^2 \) is 2\( x^2 \), so the coefficient is 2.
3. The degree of \( 4x^3 - 12x^2 + 3x + 9 \) is:
a) 0 b) 1 c) 2 d) 3
Answer: d
Explanation: Highest variable exponent is 3.
4. What is the zero of the polynomial \( f(x) = 2x + 7 \)?
a) \( 2/7 \) b) \( -2/7 \) c) \( 7/2 \) d) \( -7/2 \)
Answer: d
Step 1: Set \( f(x) = 0 \): \( 2x + 7 = 0 \)
Step 2: \( 2x = -7 \)
Step 3: \( x = -7/2 \)
5. Which of the following is a constant polynomial?
a) 4x + 1 b) 3 c) 2x\(^2\) d) 6x + 3
Answer: b
Explanation: Only 3 has degree 0 (no variable).
Polynomials Practice Table for Quick Revision
Here are sample polynomials and their properties for revision:
| Polynomial | Type | Degree |
|---|---|---|
| 7x | Monomial | 1 |
| 3x2 - 2x | Binomial | 2 |
| 2x3 + x - 1 | Trinomial | 3 |
| 5 | Constant | 0 |
Understanding the type and degree helps answer MCQs quickly.
Mistakes to Avoid With Polynomials MCQs
- Confusing the polynomial’s highest coefficient with its degree.
- Mixing up terms like zero (root) and coefficient.
- Not checking if all exponents are whole numbers (otherwise, it’s not a polynomial).
Tips for Solving Chapter 2 Polynomials MCQs Faster
- Underline key words like "degree," "coefficient," or "zero" in each question.
- Plug values into polynomials step-by-step for value/zero problems.
- Quickly scan options for degree and type questions.
Download/Offline Practice
Want more MCQ worksheets or PDFs for practice? Try similar Class 9 MCQs and download answer keys from resources like MCQ Questions for Class 9 Maths with Answers PDF Download to revise offline whenever needed.
Advance Your Polynomial Skills (Related Study Links)
- Polynomial: Find basic concepts and definitions.
- Degree of Polynomial: Deepen your understanding of how to find the degree.
- Factoring Polynomials: Useful for MCQs on factorization and solving roots.
- Remainder Theorem: For solving value problems in MCQs.
- Algebraic Expression: Connects expressions to polynomials in exam questions.
- Monomial in Maths: To clarify monomial, binomial, trinomial differences.
- Polynomials in One Variable: Directly targets exam MCQs.
- Polynomial Division: For advanced factor and division questions.
- Algebraic Equations: Explore how polynomials connect to equations.
- Quadratics: For linking polynomial questions with quadratic equations.
Page Summary
This page covered important Class 9 Maths Chapter 2 Polynomials MCQs for CBSE, explained core concepts, offered multiple question types, and gave direct links for further reading and practice. With regular practice on these polynomials MCQs and related concept links from Vedantu, you will master algebra basics for exams and real-life problem solving.
FAQs on Class 9 Maths Polynomials MCQ Practice with Answers
1. What is a polynomial in class 9 maths?
A polynomial in Class 9 Maths is an algebraic expression consisting of variables and coefficients combined using only addition, subtraction, and multiplication, where the variables have whole number exponents (non-negative integers). Examples include monomials, binomials, and trinomials. Polynomials are fundamental for understanding algebra and are extensively tested in the CBSE syllabus.
2. How many MCQs should I practice for chapter 2?
To effectively prepare for Class 9 Maths Chapter 2 - Polynomials, it is recommended to practice at least 30 to 50 MCQs covering all subtopics like polynomial degree, zeroes, factorization, and polynomial operations. This range ensures thorough revision and builds confidence for board exams and competitive tests.
3. Where can I download MCQ on Polynomials Class 9 PDF?
You can download the MCQ on Polynomials for Class 9 in PDF format from the official Vedantu page or from links provided in the resources section. These PDFs contain chapter-wise multiple-choice questions aligned with the latest CBSE syllabus, enabling offline revision anytime.
4. How do I explain answers to class 9 maths chapter 2 polynomials mcqs?
Answer explanations should be step-by-step, starting from identifying the polynomial's terms and degree, applying relevant formulas or theorems like the Remainder Theorem, and solving algebraic expressions carefully. Each step should highlight key concepts such as degree, zeroes, or factorization, making the solution clear and easy to understand.
5. Can these MCQs help for board exam revision?
Yes, practicing these MCQs is highly beneficial for board exam revision. They cover all important topics in the Class 9 Polynomials chapter and help improve speed, accuracy, and understanding of question patterns. Regular practice aids in better retention of concepts and exam readiness.
6. Why do students confuse polynomial degree with highest coefficient?
Students often confuse the degree of a polynomial with its highest coefficient because both relate to the polynomial’s terms. The degree is the highest power of the variable in the polynomial, whereas the coefficient is the numerical factor multiplying that variable term. Understanding this distinction is crucial for correctly answering MCQs on polynomials.
7. Why is x² – 3x + 5 a trinomial?
The polynomial x² – 3x + 5 is called a trinomial because it has exactly three terms. Each term is separated by a plus or minus sign, and in this case, they are x², –3x, and 5. Recognizing the number of terms helps classify polynomials as monomials, binomials, or trinomials.
8. What does 'zeroes' of a polynomial actually mean in MCQs?
The zeroes of a polynomial refer to the values of the variable that make the polynomial equal to zero. In other words, if f(x) is a polynomial, then its zeroes are the solutions to f(x) = 0. This concept is frequently tested in MCQs to check a student's understanding of roots and factorization.
9. Why do board exams include MCQs for polynomials?
Board exams include MCQs on polynomials to assess quick recall, conceptual clarity, and problem-solving abilities. MCQs facilitate objective testing of key algebraic concepts like polynomial degree, zeroes, and factorization, which are essential skills for higher maths. This format also helps students practice time management during exams.
10. Why do some MCQ options look similar but only one is correct?
MCQ options may appear similar to test the student's careful analysis and understanding of polynomial concepts. Subtle differences, such as signs, coefficients, or degrees, are designed to check attention to detail and knowledge application. Selecting the correct answer requires verifying each option against the polynomial's properties.
