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🧾 CBSE · Class 10

Class 10 Maths: Polynomials Worksheet (with Answers)

A free, print-ready worksheet on Polynomials for CBSE Class 10 Maths, with a matching answer key. Use the sample below, or build your own with the exact mix of questions you need — no login, no ads.

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Sample worksheet

7 of 19 questions from this chapter. Generate your own for the full set, more variations, and a clean print layout.

  1. 1. The degree of the polynomial 7x³ − 2x + 1 is:
    • (a) 3
    • (b) 2
    • (c) 1
    • (d) 7
  2. 2. The sum of the zeroes of x² − 7x + 10 is:
    • (a) 10
    • (b) 7
    • (c) −7
    • (d) −10
  3. 3. The product of the zeroes of 2x² − 3x − 5 is:
    • (a) −5/2
    • (b) 3/2
    • (c) −3/2
    • (d) 5/2
  4. 4. A quadratic polynomial has at most:
    • (a) no zeroes
    • (b) 3 zeroes
    • (c) 2 zeroes
    • (d) 1 zero
  5. 5. State the degree of 4x² − 3x⁵ + 7.
  6. 6. Find the sum and product of the zeroes of x² + 4x + 3.
  7. 7. Find the zeroes of 6x² − 7x − 3 and verify the relationship between zeroes and coefficients.
View answers
  1. 1. (a) 3 — The highest power of x is 3.
  2. 2. (b) 7 — Sum = −b/a = −(−7)/1 = 7.
  3. 3. (a) −5/2 — Product = c/a = −5/2.
  4. 4. (c) 2 zeroes — A degree-2 polynomial has at most 2 zeroes.
  5. 5. The highest power is 5, so the degree is 5.
  6. 6. Sum = −4, product = 3.
  7. 7. Split −7x into −9x + 2x (product 6 × −3 = −18, sum −7): 6x² − 9x + 2x − 3 = 3x(2x − 3) + 1(2x − 3) = (2x − 3)(3x + 1). Zeroes: x = 3/2 and x = −1/3. Sum = 3/2 − 1/3 = 7/6 = −b/a = 7/6. Product = (3/2)(−1/3) = −1/2 = c/a = −3/6. Verified.
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How it works

Every question is drawn from StudyMatic’s own Maths bank for Polynomials — nothing is auto-generated or invented. Pick how many of each type you want, add your own questions if you like, choose 1–4 paper sets for anti-cheating, and print the worksheet and answer key separately or save them as PDF.

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FAQ

Is this Class 10 Maths worksheet on Polynomials free?
Yes — it is completely free, with no login and no ads. You can print it or save it as a PDF, and generate unlimited variations.
Does the Polynomials worksheet come with answers?
Yes. Every worksheet has a separate answer key with the correct answers, short explanations and marks, so it is ready for marking.
Can I choose how many questions and which types?
Yes. Open the generator for this chapter and set how many MCQs, short, long and HOTS questions you want; totals and marks update live, and you can swap any single question.
Which board and class is this for?
This worksheet is aligned to CBSE Class 10 Maths, chapter “Polynomials”.