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`

Answer 1

`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`