Class 10 Mathematics Chapter 2: Polynomials — practice questions with answers
Free practice for Class 10 Mathematics, Chapter 2: Polynomials. Try the solved questions below, then take a free test with instant marking and explanations.
60 questions21 easy, 25 medium, 14 hardNCERT · CBSE · State boards
Sample questions with solutions
Q1. What is the degree of the polynomial 5x³ − 4x² + x − √2?
- 3
- 2
- 1
- 4
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Answer: A. 3
Why: The highest power of x is 3. [p.10]
Why: The highest power of x is 3. [p.10]
Q2. Which of these is a quadratic polynomial?
- 2x² + 3x − 5
- x³ + 1
- √x + 3
- 1/x + 2
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Answer: A. 2x² + 3x − 5
Why: Degree 2; √x and 1/x are not polynomials. [p.10]
Why: Degree 2; √x and 1/x are not polynomials. [p.10]
Q3. Which expression is NOT a polynomial?
- 1/(x − 2)
- x² + 1
- 3z + 4
- 7u⁶ − 3u⁴ + 4u² + u − 8
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Answer: A. 1/(x − 2)
Why: Variables cannot appear in the denominator. [p.10]
Why: Variables cannot appear in the denominator. [p.10]
Q4. Which of these are zeroes of x² − 3x − 4?
- −1 and 4
- 1 and −4
- 3 and 4
- −3 and −4
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Answer: A. −1 and 4
Why: p(−1) = 0 and p(4) = 0. [p.11]
Why: p(−1) = 0 and p(4) = 0. [p.11]
Q5. What is the zero of the linear polynomial ax + b (a ≠ 0)?
- −b/a
- b/a
- −a/b
- a/b
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Answer: A. −b/a
Why: −(constant term) ÷ (coefficient of x). [p.11]
Why: −(constant term) ÷ (coefficient of x). [p.11]
Q6. What does a zero of p(x) represent on the graph of y = p(x)?
- The x-coordinate of a point where the graph meets the x-axis
- The y-intercept
- The highest point of the graph
- The slope
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Answer: A. The x-coordinate of a point where the graph meets the x-axis
Why: Zeroes are where y = 0. [p.12]
Why: Zeroes are where y = 0. [p.12]
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Frequently asked questions
How many practice questions are there for Class 10 Mathematics Chapter 2: Polynomials?
60 questions (21 easy, 25 medium, 14 hard). A few are solved on this page; the free test shows the answer and explanation for every question after you submit.
Is this chapter from the NCERT book?
Yes — it follows the NCERT Class 10 Mathematics syllabus, used by CBSE and many state boards.