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If the zeroes of a polynomial… (Class 10 Maths 2026, Q3)

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MathsCBSE Class 10 · Standard · Board exam 2026, set 30/5/1 · 1 mark · MCQ

CBSE Class 10 Mathematics Standard 2026: question 3

Set in the CBSE Class 10 board exam of 2026, paper 30/5/1, section A, question 3, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q3 · 1 mark · MCQPolynomials

If the zeroes of a polynomial are and , then equals

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

Source: official question paper from cbse.gov.in (PDF). See it in the full 2026 board paper, set 30/5/1.

Hints

Open one hint at a time and try again before the next.

Hint 1

Substitute and into each option.

Hint 2

A polynomial with zeroes contains factors and up to a constant multiple.

Step-by-step solution

Each step shows the marks it earns, as an examiner would award them. Checked by an independent re-solve from the question paper.

  1. becomes 0 at and , so both are zeroes.

  2. Check others: (A) at gives ; (C) has zeroes ; (D) zeroes . Hence option (B).

    1 mark

Answer: Option (B)

Where the marks are

  • Identifies as having zeroes and (1 mark)

Revise the chapter

  • Chapter: Polynomials (notes, formulas, where marks are lost and every past question)
Practise this chapterBoard-style questions from Polynomials, one at a time, marked against the answer key and marking points.Back to the full paper2026 board paper, set 30/5/1 (Standard): every question, by section.

The question is transcribed from the official paper; figures are described in words. The solution, hints and chapter tag are ours. Spotted an error? Write tosupport@questionbuddy.in.