Zeroes of the polynomial p(x) = x² - 3√(2) x + 4 are : (A) 2, √(2) (B) 2√(2), √(2) (C) 4√(2), -√(2) (D) √(2), 2

MathsCBSE Class 10 · Standard · Board exam 2025, set 30/3/1 · 1 mark · MCQ

CBSE Class 10 Mathematics Standard 2025: question 17

Set in the CBSE Class 10 board exam of 2025, paper 30/3/1, section A, question 17, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q17 · 1 mark · MCQPolynomials

Zeroes of the polynomial $p (x) = x^{2} - 32 x + 4$ are :

(A) $2, 2$
(B) $22, 2$
(C) $42, - 2$
(D) $2, 2$

Source: official question paper from cbse.gov.in (PDF). See it in the full 2025 board paper, set 30/3/1.

Hints

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

Hint 1

The zeroes must have sum $32$ and product $4$ .

Hint 2

Look for two multiples of $2$ that add to $32$ .

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.

Split the middle term: $x^{2} - 22 x - 2 x + 4 = x (x - 22) - 2 (x - 22) = (x - 22) (x - 2)$ .
So the zeroes are $22$ and $2$ . Check: sum $= 32$ and product $= 4$ . The answer is option (B).
1 mark

Answer: $22, 2$ , option (B)

Where the marks are

Factorises the polynomial (or uses sum and product of zeroes) to obtain $22, 2$ (1 mark)

Revise the chapter

Chapter: Polynomials (notes, formulas, where marks are lost and every past question)
Topic: Forming a Quadratic Polynomial from Its Zeros

Practise this chapterBoard-style questions from Polynomials, one at a time, marked against the answer key and marking points.Back to the full paper2025 board paper, set 30/3/1 (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.

CBSE Class 10 Mathematics Standard 2025: question 17

Hints

Step-by-step solution

Revise the chapter

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