Home » MCQ on Class 10 Mathematics Chapter 2: Polynomials

MCQ on Class 10 Mathematics Chapter 2: Polynomials

By Abdur Rohman / July 3, 2024

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Chapter 2 of class 10 Mathematics as per the NCERT syllabus is Polynomials which deals with the Introduction to Polynomials, the Geometrical Meaning of the Zeroes of a Polynomial, the Relationship Between Zeroes and Coefficients of a Polynomial, Division Algorithm for Polynomials, etc.

Here, we have discussed 30 Multiple Choice Questions based on these topics of the chapter. These questions will help you to learn more about the chapter and test your knowledge.

For each question below, there are four options out of which only one option is correct. After selecting your answer, click on the submit button to see the score and review your answers.

MCQ on Class 10 Maths Chapter 2 Polynomials

1. What is the degree of the polynomial \(5x^3 – 4x^2 + x – 2\)?

A. 1 B. 2 C. 3 D. 4

2. What is the general shape of the graph of a quadratic polynomial?

A. Straight line B. Parabola C. Circle D. Ellipse

3. If the polynomial \(x^2 – 3x – 4\) is factored, what are its zeroes?

A. 3 and 4 B. -1 and 4 C. 1 and -4 D. -3 and -4

4. What is the sum of the zeroes of the polynomial \(2x^2 – 4x + 1\)?

A. 2 B. -2 C. 4 D. -4

5. What is the product of the zeroes of the polynomial \(3x^2 – 5x + 2\)?

A. 2 B. -2 C. \(\frac{2}{3}\) D. \(\frac{-2}{3}\)

6. If a polynomial \(p(x)\) is divided by \(g(x)\), what is the degree of the remainder \(r(x)\) compared to \(g(x)\)?

A. Greater than the degree of \(g(x)\) B. Less than the degree of \(g(x)\) C. Equal to the degree of \(g(x)\) D. None of the above

7. What is the degree of the zero polynomial?

A. 0 B. Not defined C. 1 D. 2

8. For the polynomial \(x^2 + 7x + 10\), what is the sum of the zeroes?

A. -10 B. -7 C. 7 D. 10

9. What is the zero of the polynomial \(x + 5\)?

A. -5 B. 5 C. 0 D. 1

10. Which of the following is a quadratic polynomial?

A. \(2x + 3\) B. \(x^2 – 4x + 4\) C. \(x^3 + x + 1\) D. \(4x + 2x^2\)

11. What is the coefficient of \(x^2\) in the polynomial \(4x^3 + 3x^2 – 2x + 1\)?

A. 3 B. 4 C. -2 D. 1

12. Which polynomial has a zero at \(x = -3\)?

A. \(x + 2\) B. \(x – 3\) C. \(x + 3\) D. \(x – 2\)

13. If \(p(x) = 2x^2 + 5x + 3\), what is \(p(1)\)?

A. 10 B. 6 C. 10 D. 8

14. The polynomial \(x^2 – 4\) is called a?

A. Difference of squares B. Sum of squares C. Perfect square D. Cubic polynomial

15. For the polynomial \(3x^2 – 2x + 1\), what is the coefficient of \(x\)?

A. 3 B. -2 C. 1 D. -1

16. Which polynomial is a constant?

A. \(3x + 1\) B. 5 C. \(x^2 – 3x + 2\) D. \(2x\)

17. What is the polynomial representation of the sum of two zeroes \(\alpha\) and \(\beta\) as per quadratic polynomial \(ax^2 + bx + c\)?

A. \(\frac{b}{a}\) B. \(\frac{-b}{a}\) C. \(-\frac{b}{a}\) D. \(-\frac{a}{b}\)

18. Which of the following is NOT a polynomial?

A. \(\frac{1}{x}\) B. \(x^2 + 2x + 1\) C. \(4x^3 – 3x\) D. \(5x – 7\)

19. What is the constant term in the polynomial \(2x^2 – 4x + 6\)?

A. 2 B. 6 C. -4 D. -6

20. If \(g(x)\) is a polynomial and \(f(x)\) is divided by \(g(x)\), what is the quotient denoted as?

A. \(r(x)\) B. \(f(x)\) C. \(g(x)\) D. \(q(x)\)

21. If \(f(x) = 3x^3 – 2x + 5\), what is \(f(2)\)?

A. 21 B. 17 C. 14 D. 11

22. For the polynomial \(x^2 + 7x + 10\), what is the product of the zeroes?

A. -7 B. 10 C. 70 D. 17

23. What is the zero of the polynomial \(x – 7\)?

A. 7 B. -7 C. 0 D. 1

24. Which polynomial is a linear polynomial?

A. \(x^2 + 1\) B. \(x^3 + x + 1\) C. \(2x + 3\) D. \(x^4 – x^3 + x^2 – x + 1\)

25. What is the coefficient of \(x\) in the polynomial \(5x^2 – 3x + 7\)?

A. 5 B. -3 C. 7 D. 1

26. Which polynomial has a zero at \(x = 2\)?

A. \(x + 2\) B. \(x – 2\) C. \(x^2 – 4\) D. \(x^2 + 4\)

27. For the polynomial \(4x^2 – 4x + 1\), what is the sum of the zeroes?

A. 4 B. -4 C. 1 D. -1

28. What is the degree of the polynomial \(3x^4 – x^3 + x^2 – 7\)?

A. 2 B. 3 C. 4 D. 5

29. If \(f(x) = x^2 – x + 1\), what is \(f(0)\)?

A. 1 B. 0 C. -1 D. 2

30. Which of the following is a cubic polynomial?

A. \(2x + 3\) B. \(x^2 – 4x + 4\) C. \(4x + 2x^2\) D. \(x^3 – x + 1\)

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The Bottom Line

I hope these 30 MCQs on Polynomials of Class 10 Maths Chapter 2 have helped you in your studies and preparation.

If you have any queries, or comments or find any mistake in the above questions, feel free to contact me in the comment section below.

I would love to hear from you.

Abdur Rohman

Abdur Rohman is an Electrical Engineer from Charaideo, Assam, who wears multiple hats as a part-time teacher, blogger, entrepreneur, and digital marketer. Passionate about education, he founded The Assam School blog to provide free, comprehensive textbook solutions, MCQs (Multiple Choice Questions), and other academic content for students from Class V to XII.