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Home/ Questions/Q 1847
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Narendra Tomar
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Narendra Tomar
Asked: December 22, 20202020-12-22T04:13:51+00:00 2020-12-22T04:13:51+00:00In: Class 10 Maths

If the zeroes of the polynomial x³ – 3 x² + x + 1 are a – b, a, a + b, find a and b.

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NCERT Solutions for Class 10 Maths Chapter 2
Important NCERT Questions
Polynomials
NCERT Books for Session 2022-2023
CBSE Board and UP Board Others state Board
EXERCISE 2.4
Page No:36
Questions No:1 Part:3

2020-2021cbsechapter 2class10mathematicsncertpolynomials
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      Nidhi Baghel
      2023-01-06T10:47:29+00:00Added an answer on January 6, 2023 at 10:47 am

      We know that,
      Sum of zeroes = -(Cofficient of x²)/Cofficient of x³)
      Therefore,
      (a – b) + a + (a + b) = (-(-3))/1
      ⇒ 3a = 3
      ⇒ a = 1
      Product of zeroes = -(Constant term)/(Cofficient of x³)
      Therefore,
      (a – b)(a)(a + b) = -(1)/1
      ⇒ (1 – b)1(1 + b) = -1 [Because a = 1]
      ⇒ 1 – b² = – 1
      ⇒ b² = 2
      ⇒ b = +- √2
      Hence, a = 1 and b = +- √2

      See here 👇

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    2. Etaha
      2021-07-29T08:42:55+00:00Added an answer on July 29, 2021 at 8:42 am

      Get Hindi Medium and English Medium NCERT Solution for Class 10 Maths to download.
      Please follow the link to visit website for first and second term exams solutions.
      Class 10 Maths Solutions for first Term 2022-2023
      https://www.tiwariacademy.com/ncert-solutions/class-10/maths/chapter-2/

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