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Question
Find the zeroes of the quadratic polynomial `f(x) = 4sqrt3x^2 + 5x – 2sqrt3`.
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Solution
To find the zeroes of the quadratic polynomial we will equate f(x) to 0
∴f(x) = 0
`⇒ 4sqrt3x^2 + 5x – 2sqrt3 = 0`
`⇒ 4sqrt3x2 + 8x – 3x – 2sqrt3 = 0`
`⇒ 4x (sqrt3x + 2) – sqrt3(sqrt3x + 2) = 0`
`⇒ (sqrt3x + 2) = 0 or (4x – sqrt3) = 0`
`⇒x=-2/sqrt3 or x=sqrt3/4`
Hence, the zeroes of the quadratic polynomial` f(x)=4sqrt3x^2+5x-2sqrt3 are-2/sqrt3or sqrt3/4`
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