Welcome To My School Study
Practice Class 10 Maths Chapter 2 Polynomials MCQ Questions with Answers based on NCERT syllabus. Learn degree of polynomial, constant polynomial, linear polynomial, quadratic polynomial, cubic polynomial, and polynomial identification with detailed solutions and exam tips.
Do You Know
Chapter Information
Subject: Mathematics
Class: 10
Chapter: Polynomials
Question Type: Multiple Choice Questions (MCQs)
Difficulty Level: Easy to Moderate
Based On: NCERT Latest Syllabus
Introduction:
Polynomials are algebraic expressions that play an important role in mathematics. They are used in algebra, coordinate geometry, calculus, and many real-life applications. Understanding the degree and type of a polynomial is essential because it helps students solve equations and analyze mathematical relationships. In this practice set, students will strengthen their understanding of polynomial classification, degree, and identification through carefully designed MCQs with detailed explanations and exam tips.
What You Will Learn?
✔ Degree of a Polynomial
✔ Constant Polynomial
✔ Linear Polynomial
✔ Quadratic Polynomial
✔ Cubic Polynomial
✔ Polynomial Identification
✔ Board Exam Preparation
Why This Topic Is Important?
Polynomials are one of the most fundamental algebraic concepts. A strong understanding of polynomial types and degrees makes it easier to solve equations and understand advanced mathematical topics in later classes.
Exam Relevance
These questions are useful for:
✔ CBSE Board Exams
✔ State Board Exams
✔ School Unit Tests
✔ Half-Yearly Exams
✔ Annual Exams
✔ Scholarship Examinations
Q1. Which of the following is a cubic polynomial?
A) $$x+5$$
B) $$x^2+4x+1$$
C) $$x^3-2x+7$$
D) $$9$$
Answer:
$$x^3-2x+7$$
Useful Formula for this Question:
A cubic polynomial has degree:
$$3$$
Concept Behind This Question:
Polynomials are classified according to their highest power.
Solution:
The highest power of $$x$$ in:
$$x^3-2x+7$$
is:
$$3$$
Therefore, it is a cubic polynomial.
Hence, the correct answer is:
$$x^3-2x+7$$
Exam Tip:
Always identify the highest exponent before deciding the type of polynomial.
————————————————–
Q2. What is the degree of the polynomial:
$$8x^5-3x^2+4$$
A) $$2$$
B) $$3$$
C) $$4$$
D) $$5$$
Answer:
$$5$$
Useful Formula for this Question:
Degree of a polynomial = Highest power of the variable.
Concept Behind This Question:
The degree determines the classification and behavior of a polynomial.
Solution:
The powers of $$x$$ are:
$$5,\ 2,\ 0$$
The highest power is:
$$5$$
Therefore, the degree is:
$$5$$
Hence, the correct answer is:
$$5$$
Exam Tip:
The coefficient does not affect the degree of a polynomial.
————————————————–
Q3. Which of the following expressions is NOT a polynomial?
A) $$4x^2+7x+1$$
B) $$x^4-3$$
C) $$\sqrt{x}+2$$
D) $$5x+9$$
Answer:
$$\sqrt{x}+2$$
Useful Formula for this Question:
Polynomial powers must be non-negative integers.
Concept Behind This Question:
Variables with fractional powers are not allowed in polynomials.
Solution:
$$\sqrt{x}=x^{\frac{1}{2}}$$
Since:
$$\frac{1}{2}$$
is not a non-negative integer, the expression is not a polynomial.
Therefore, the correct answer is:
$$\sqrt{x}+2$$
Exam Tip:
If you see square roots of variables, the expression is generally not a polynomial.
————————————————–
Q4. Which of the following is a quadratic polynomial?
A) $$5x^2-2x+1$$
B) $$x^3+1$$
C) $$7x+4$$
D) $$12$$
Answer:
$$5x^2-2x+1$$
Useful Formula for this Question:
A quadratic polynomial has degree:
$$2$$
Concept Behind This Question:
The degree helps identify the type of polynomial.
Solution:
The highest power of $$x$$ in:
$$5x^2-2x+1$$
is:
$$2$$
Therefore, it is a quadratic polynomial.
Hence, the correct answer is:
$$5x^2-2x+1$$
Exam Tip:
A polynomial with highest exponent $$2$$ is always quadratic.
————————————————–
Q5. Which of the following is a constant polynomial?
A) $$3x$$
B) $$x^2+5$$
C) $$-8$$
D) $$x^3$$
Answer:
$$-8$$
Useful Formula for this Question:
A constant polynomial contains no variable.
Concept Behind This Question:
A constant polynomial has a fixed value and degree $$0$$.
Solution:
The expression:
$$-8$$
contains no variable.
Therefore, it is a constant polynomial.
Hence, the correct answer is:
$$-8$$
Exam Tip:
Positive and negative constants are both constant polynomials.
————————————————–
Important Formulas and Concepts
Degree of Polynomial:
Highest power of the variable.
Constant Polynomial:
Degree $$0$$
Linear Polynomial:
Degree $$1$$
Quadratic Polynomial:
Degree $$2$$
Cubic Polynomial:
Degree $$3$$
————————————————–
FAQs
Q. Can a polynomial have a negative exponent?
Answer:
No. A polynomial can contain only non-negative integer exponents.
Q. What is a cubic polynomial?
Answer:
A polynomial whose degree is:
$$3$$
Q. What is the degree of a constant polynomial?
Answer:
The degree of a non-zero constant polynomial is:
$$0$$
————————————————–
Common Mistakes Students Make
❌ Looking at coefficients instead of exponents.
❌ Treating $$\sqrt{x}$$ as a polynomial term.
❌ Forgetting that constants are also polynomials.
❌ Confusing quadratic and cubic polynomials.
————————————————–
Quick Revision Notes
✔ Degree = Highest exponent of the variable.
✔ Constant polynomial → Degree $$0$$
✔ Linear polynomial → Degree $$1$$
✔ Quadratic polynomial → Degree $$2$$
✔ Cubic polynomial → Degree $$3$$
✔ Fractional powers are not allowed in polynomials.
————————————————–
Conclusion:
These Class 10 Maths Chapter 2 Polynomials MCQs help students strengthen their understanding of polynomial identification, degree, and classification. Regular practice of such questions builds a strong foundation for algebra and board exam preparation.
Related links
- Class 10 Maths Chapter 2 Polynomials, linear polynomial
- Class 10 Social Science : Consumer Rights, RTI & Water Resources
- Class 10 Social Science: Project Tiger, Green Revolution
- Class 10 Maths Chapter 1 Real Numbers, HCF, LCM,
- Class 10 Maths Chapter 1 Real Numbers prime factorization
- Class 10 Maths Chapter 1 Real Numbers Euclid Division Lemma
- Class 10 Maths Chapter-1 Real Numbers-Rational numbers-MCQ
- Class 10 Maths Chapter 1 Real Numbers MCQ Questions with Solution
- Class 10 Maths Chapter 1 Real Numbers MCQ for Board Exams
- Class 10 SST MCQs with Answers | Federalism & Freedom
Latest Posts
- Class 7 Maths Chapter 1 Integers, number line, subtraction
- Class 8 Maths additive inverse, multiplicative inverse MCQ
- Class 9 Maths Chapter 1 Number Systems laws of exponents
- Class 10 Maths Chapter 2 Polynomials MCQ linear polynomial
- Class 10 Maths Chapter 2 Polynomials, linear polynomial
Join Our Other Communities
Instagram , Youtube , Facebook
