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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

Text Solution

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The correct Answer is:
`(2-sqrt3)`
Let the other zero be `alpha`.
Then, sum of zoros = `(-("coefficient of x"))/(("coefficient of " x^(2)) = (-(-4))/1 = 4.`
`:. (2 + sqrt3)+ alpha = 4 rArr alpha= (2 - sqrt3).`
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