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Find a quadratic… (Class 10 Maths Basic 2024, Q24b)

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MathsCBSE Class 10 · Basic · Board exam 2024, set 430/4/1 · 2 marks · Very short answer

CBSE Class 10 Mathematics Basic 2024: question 24(b)

Set in the CBSE Class 10 board exam of 2024, paper 430/4/1, section B, question 24(b), for 2 marks. Try it first; the hints and our step-by-step solution are below.

Q24(b) · 2 marks · Very short answerPolynomials

Find a quadratic polynomial whose zeroes are and .

Source: official question paper from cbse.gov.in (PDF). See it in the full 2024 board paper, set 430/4/1.

Hints

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

Hint 1

A quadratic with zeroes α and β is x² − (α + β)x + αβ.

Hint 2

Find the sum and the product of −9 and 6, and be careful with the signs.

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. Sum of zeroes .

    ½ mark

  2. Product of zeroes .

    ½ mark

  3. The required polynomial is , where is any non-zero real. Taking , the polynomial is .

    1 mark

Answer: (or , )

Where the marks are

  • Sum of zeroes = −3 (½ mark)
  • Product of zeroes = −54 (½ mark)
  • Forms the polynomial x² + 3x − 54 (1 mark)

Revise the chapter

Practise this chapterBoard-style questions from Polynomials, one at a time, marked against the answer key and marking points.Back to the full paper2024 board paper, set 430/4/1 (Basic): 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.