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Question 78Asked in BPSC TRE 3.0 (2024) Mathematics Class 9-10

The HCF of 2x³ + 2x, x² + 1, x⁴ – 1 is2x³ + 2x, x² + 1, x⁴ – 1 का HCF है

2x³ + 2x, x² + 1, x⁴ – 1 का HCF है
  1. Ax + 1x + 1
  2. Bx² + 1x² + 1
  3. C11
  4. DMore than one of the aboveउपर्युक्त में से एक से अधिक
  5. ENone of the aboveउपर्युक्त में से कोई नहीं
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Correct answer: (B) x² + 1x² + 1

Explanation

2x³ + 2x = 2x(x² + 1) and x⁴ − 1 = (x² − 1)(x² + 1); the common factor is x² + 1.2x³ + 2x = 2x(x² + 1) और x⁴ − 1 = (x² − 1)(x² + 1); उभयनिष्ठ गुणनखंड x² + 1 है।

From BPSC TRE 3.0 (2024) Mathematics Class 9-10 — Previous Year Paper

This is question 78 of BPSC TRE 3.0 (2024) Mathematics Class 9-10 — Previous Year Paper. See all questions of this paper with answers, or attempt the paper as a timed online test to get your score and all-India rank.