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🧾 CBSE · Class 9

Class 9 Maths: Polynomials Worksheet (with Answers)

A free, print-ready worksheet on Polynomials for CBSE Class 9 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 18 questions from this chapter. Generate your own for the full set, more variations, and a clean print layout.

  1. 1. The degree of 4x³ − 2x + 7 is:
    • (a) 3
    • (b) 7
    • (c) 1
    • (d) 2
  2. 2. (a + b)² equals:
    • (a) a² − 2ab + b²
    • (b) a² + 2ab + b²
    • (c) a² + ab + b²
    • (d) a² + b²
  3. 3. By the Remainder Theorem, dividing p(x) by (x − a) gives remainder:
    • (a) p(0)
    • (b) p(−a)
    • (c) p(a)
    • (d) 0 always
  4. 4. (x − a) is a factor of p(x) if:
    • (a) p(0) = 0
    • (b) p(1) = 0
    • (c) p(a) = 0
    • (d) the degree is 1
  5. 5. State the degree of the constant polynomial 7.
  6. 6. Find p(1) for p(x) = x² − 3x + 2.
  7. 7. Factorise x³ − 23x² + 142x − 120 given that (x − 1) is a factor.
View answers
  1. 1. (a) 3 — The highest power of x is 3.
  2. 2. (b) a² + 2ab + b² — (a + b)² = a² + 2ab + b².
  3. 3. (c) p(a) — The remainder equals p(a).
  4. 4. (c) p(a) = 0 — Factor Theorem: (x − a) is a factor when p(a) = 0.
  5. 5. Zero (a non-zero constant has degree 0).
  6. 6. p(1) = 1 − 3 + 2 = 0.
  7. 7. Since (x − 1) is a factor, divide to get x² − 22x + 120, which factorises as (x − 10)(x − 12). So x³ − 23x² + 142x − 120 = (x − 1)(x − 10)(x − 12).
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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 9 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 9 Maths, chapter “Polynomials”.