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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`
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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`
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