Welcome To My School Study
Practice Class 10 Maths Chapter 2 Polynomials MCQ Questions with Answers based on NCERT syllabus. Learn cubic polynomials, zeroes of polynomials, and relationships between coefficients with detailed solutions, formulas, and board exam tips.
Do You Know
Chapter Information
Subject: Mathematics
Class: 10
Chapter: Polynomials
Question Type: Multiple Choice Questions (MCQs)
Difficulty Level: Advanced Board Exam Level
Based On: NCERT Latest Syllabus
Introduction:
So far, we have focused mainly on quadratic polynomials. In this practice set, students will begin working with cubic polynomials. Understanding the relationship between zeroes and coefficients in cubic polynomials is important because it extends the concepts learned in quadratic polynomials and strengthens algebraic reasoning. These questions are frequently asked in board exams and higher-level mathematics studies.
What You Will Learn?
✔ Cubic Polynomials
✔ Sum of Zeroes
✔ Product of Zeroes
✔ Relationship Between Zeroes and Coefficients
✔ Algebraic Reasoning
✔ Board Exam Preparation
Why This Topic Is Important?
Cubic polynomial questions help students understand advanced polynomial concepts and prepare them for higher mathematics.
Exam Relevance
These questions are useful for:
✔ CBSE Board Exams
✔ State Board Exams
✔ School Unit Tests
✔ Half-Yearly Exams
✔ Annual Exams
✔ Scholarship Examinations
Q1. The degree of the polynomial:
$$x^3+2x^2-5x+7$$
is:
A) $$1$$
B) $$2$$
C) $$3$$
D) $$4$$
Answer:
$$3$$
Useful Formula for this Question:
Degree of a polynomial = Highest power of the variable.
Concept Behind This Question:
The degree is determined by the largest exponent of $$x$$.
Solution:
Highest power of $$x$$ is:
$$3$$
Therefore, the degree of the polynomial is:
$$3$$
Hence, the correct answer is:
$$3$$
Exam Tip:
Always look for the highest exponent in the polynomial.
————————————————–
Q2. If the zeroes of a cubic polynomial are:
$$1,\ 2,\ 3$$
then their sum is:
A) $$5$$
B) $$6$$
C) $$7$$
D) $$8$$
Answer:
$$6$$
Useful Formula for this Question:
Sum of zeroes:
$$\alpha+\beta+\gamma$$
Concept Behind This Question:
The sum is obtained by adding all three zeroes.
Solution:
Given zeroes:
$$1,\ 2,\ 3$$
Sum:
$$1+2+3$$
$$=6$$
Therefore, the correct answer is:
$$6$$
Exam Tip:
Add all three zeroes carefully.
————————————————–
Q3. If the zeroes of a cubic polynomial are:
$$1,\ 2,\ 3$$
then their product is:
A) $$5$$
B) $$6$$
C) $$7$$
D) $$8$$
Answer:
$$6$$
Useful Formula for this Question:
Product of zeroes:
$$\alpha\beta\gamma$$
Concept Behind This Question:
Multiply all three zeroes together.
Solution:
Given zeroes:
$$1,\ 2,\ 3$$
Product:
$$1\times2\times3$$
$$=6$$
Therefore, the correct answer is:
$$6$$
Exam Tip:
Multiply step by step to avoid calculation mistakes.
————————————————–
Q4. Which of the following is a cubic polynomial?
A) $$x+5$$
B) $$x^2-4$$
C) $$x^3+2x+1$$
D) $$7$$
Answer:
$$x^3+2x+1$$
Useful Formula for this Question:
A cubic polynomial has degree:
$$3$$
Concept Behind This Question:
The highest exponent determines the type of polynomial.
Solution:
Checking each option:
A) Degree = $$1$$
B) Degree = $$2$$
C) Degree = $$3$$
D) Degree = $$0$$
Therefore, the cubic polynomial is:
$$x^3+2x+1$$
Hence, the correct answer is:
$$x^3+2x+1$$
Exam Tip:
Remember:
Linear → Degree $$1$$
Quadratic → Degree $$2$$
Cubic → Degree $$3$$
————————————————–
Q5. The number of zeroes of the polynomial:
$$p(x)=x^3-6x^2+11x-6$$
is:
A) $$1$$
B) $$2$$
C) $$3$$
D) $$4$$
Answer:
$$3$$
Useful Formula for this Question:
A polynomial of degree $$n$$ can have at most $$n$$ zeroes.
Concept Behind This Question:
A cubic polynomial can have up to three zeroes.
Solution:
Given polynomial:
$$x^3-6x^2+11x-6$$
Degree:
$$3$$
Therefore, it can have:
$$3$$
zeroes.
Hence, the correct answer is:
$$3$$
Exam Tip:
The maximum number of zeroes equals the degree of the polynomial.
————————————————–
Important Formulas and Concepts
Degree of Polynomial:
Highest power of the variable.
For cubic polynomial zeroes:
$$\alpha,\ \beta,\ \gamma$$
Sum of zeroes:
$$\alpha+\beta+\gamma$$
Product of zeroes:
$$\alpha\beta\gamma$$
Maximum number of zeroes:
$$\text{Degree of Polynomial}$$
————————————————–
FAQs
Q. What is a cubic polynomial?
Answer:
A polynomial whose highest power of the variable is:
$$3$$
Q. Can a cubic polynomial have three zeroes?
Answer:
Yes. A cubic polynomial can have up to three zeroes.
Q. Is this topic important for board exams?
Answer:
Yes. Basic questions on cubic polynomials are frequently asked.
————————————————–
Common Mistakes Students Make
❌ Confusing quadratic and cubic polynomials.
❌ Forgetting that degree means highest power.
❌ Counting terms instead of finding the degree.
❌ Incorrect multiplication while finding product of zeroes.
————————————————–
Quick Revision Notes
✔ Cubic Polynomial → Degree $$3$$
✔ Degree = Highest power of variable
✔ Sum of zeroes:
$$\alpha+\beta+\gamma$$
✔ Product of zeroes:
$$\alpha\beta\gamma$$
✔ Maximum number of zeroes = Degree of polynomial
————————————————–
Conclusion:
These Class 10 Maths Chapter 2 Polynomials MCQs help students understand cubic polynomials, degree concepts, and relationships involving zeroes. Regular practice improves conceptual clarity and strengthens preparation for board examinations.
Related links
- Class 10 Maths Chapter 2 Polynomials zeroes of polynomials
- Class 10 Maths Chapter 2 Polynomials formation
- Class 10 Maths Chapter 2 Forming Quadratic Polynomials
- Class10 Maths Chapter2 Polynomials MCQ – Part 7
- Class10 Maths Chapter2 Polynomials, missing coefficients – Part 6
- Class 10 Maths Chapter 2 Polynomials MCQ – Part 5
- Class10 Maths Chapter2 Polynomials (Zeroes of Polynomial) – Part 4
- Class 10 Math Chapter 2 Polynomials (Zeroes of Polynomial) – Part 3
- Class 10 Social Science : Consumer Rights, RTI & Water Resources
- Class 10 Social Science: Project Tiger, Green Revolution
Latest Posts
Latest Posts
- Who was Isaac Newton? – Life, Discoveries, Laws of Motion & Gravity
- Class 9 Maths Chapter 3 Coordinate Geometry
- Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables
- Class 7 Maths Chapter 2 Fractions and Decimals
- Class 8 Maths Chapter 3 Understanding Quadrilaterals
Join Our Other Communities
Instagram , Youtube , Facebook
