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Verify Whether the Indicated Numbers is Zeroes of the Polynomials Corresponding to Them in the Following Case: F ( X ) = X 2 − 1 , X = 1 , − 1 - Mathematics

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Question

Verify whether the indicated numbers is zeroes of the polynomials corresponding to them in the following case:

`g(x)=3x^2-2,`  `x=2/sqrt3     2/sqrt3`

Solution

`g(x)=3x^2-2, x=2/sqrt3    2/sqrt3`

we have `g(x)=3x^2 -2 `

put `x=2/sqrt3  and x=-2/sqrt3`

`⇒g(2/sqrt3)=3(2/sqrt3)^2-2  and    g(-2/sqrt3)=3(-2/sqrt3)^2-2`

`=3xx4/3-2`                                          `=3(4/3)-2`

`=4-2=2≠0`                                            `=4-2=2≠0`

`∴=2/sqrt3, -2/sqrt3`are not roots of `g(x)=3x^2-2`

  Is there an error in this question or solution?
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APPEARS IN

 RD Sharma Solution for Mathematics for Class 9 (2018 (Latest))
Chapter 6: Factorisation of Polynomials
Ex. 6.2 | Q: 2.3 | Page no. 8
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Verify Whether the Indicated Numbers is Zeroes of the Polynomials Corresponding to Them in the Following Case: F ( X ) = X 2 − 1 , X = 1 , − 1 Concept: Zeroes of a Polynomial.
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