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Write zeros of the polynomial p(x)=4sqrt...

Write zeros of the polynomial `p(x)=4sqrt(3)x^2+5x-2sqrt(3)`

A

` x = (-2)/sqrt3 or x = sqrt5/4 `

B

` x = (2)/sqrt3 or x = sqrt3/4 `

C

` x = (-2)/sqrt3 or x = sqrt3/4 `

D

None of the above

Text Solution

Verified by Experts

The correct Answer is:
C
`f(x) = 4 sqrt3 x^(2) + 5x -2 sqrt3`
`=4sqrt3 x^(2) + 8x-3x - 2sqrt3 = 4x(sqrt3x + 2) -sqrt3(sqrt3(sqrt3 x + 2)`
` = (sqrt3 x+2)(4x-sqrt3).`
So, its zeros are `(-2)/sqrt3, sqrt3/4.`
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