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urvashi17
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Asked: 2023-03-04T11:50:03+00:00 In:

Determine which of the following polynomials has (x + 1) a factor: (iv) x³ – x² – (2 + √2 ) x + √2

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NCERT Class 9 Math’s Chapter 2 Polynomial is an important chapter that deals with the study of polynomials and their properties.
NCERT class 9 mathematics 2022-2023
Page No. 43
Chapter No. 2
Exercise 2.4
Question 1.(iv)

chapter 2class 9 ncertmathematics
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    1. Best Answer

      x³ – x² – (2 + √2 ) x + √2
      g(x)= x+1
      x=-1
      p(x)=x³ – x² – (2 + √2 ) x + √2
      p(-1)=(-1)³-(-1)²-(2+ √2)x+ √2
      =-1-1-(2+ √2)-1+ √2
      =1-1-(-2+ (-√2))+ √2
      = 2√2 ≠ 0
      Therefore, x+1 is not factor of x³ – x² – (2 + √2 ) x + √2
      Regards

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