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Home/ Questions/Q 1846
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Narendra Tomar
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Narendra Tomar
Asked: December 21, 20202020-12-21T04:00:50+00:00 2020-12-21T04:00:50+00:00In: Class 10 Maths

Find a cubic polynomial with the sum, sum of the product of its zeroes taken two at a time, and the product of its zeroes as 2, –7, –14 respectively.

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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:2

2020-2021cbsechapter 2class10mathematicsncertpolynomials
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    1. Etaha
      2021-07-29T08:45:45+00:00Added an answer on July 29, 2021 at 8:45 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.
      https://www.tiwariacademy.com/ncert-solutions/class-10/maths/chapter-2/

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      Nidhi Baghel
      2023-01-06T10:47:33+00:00Added an answer on January 6, 2023 at 10:47 am

      Let, p(x) = ax³ + bx² + cx + d be a cubic polynomial whose zeroes taken two at a time, and the product of its zeroes as 2, -7, -14 respectively.
      Given that,
      α + β + γ = 2
      αβ + βγ + γα = -7
      αβγ = -14
      We know that,
      α + β + γ = -(Cofficient of x²)/(Cofficient of x³)
      αβ + βγ + γα = (Cofficient of x)/(Cofficient of x³)
      αβγ = -(Constant term)/Cofficient of x³)
      Therefore,
      α + β + γ = -(Cofficient of x²)/(Cofficient of x³) = (-b)/a = 2/1
      αβ + βγ + γα = (Cofficient of x)/(Cofficient of x³) = c/a = (-7)/1
      αβγ = -(Constant term)/Cofficient of x³) = (-d)/a = (-14)/1
      On comparing, a = 1, b = -2, c = -7 and d = 14
      Hence, the required cubic polynomial is p(x) = x³ – 2x² – 7x + 14.

      Here is the video explanation 😃

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