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If one zero of the polynomial x^3-4x+1 i...

If one zero of the polynomial `x^3-4x+1` is `2+sqrt3` write the other zero

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The correct Answer is:
`(2-sqrt(3))`
Let the other zero be `alpha`.
Sum of the zeros of `x^(2)-4x+1" is "4.`
`:." "alpha+(2+sqrt(3))=4impliesalpha=4-(2+sqrt(3))=(2-sqrt(3)).`
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