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Question
Find the zeroes of the quadratic polynomial `f(x) = 6x^2 – 3.`
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Solution
To find the zeroes of the quadratic polynomial we will equate f(x) to 0
`∴f(x) = 0`
`⇒ 6x^2 – 3 = 0`
`⇒ 3(2x^2 – 1) = 0`
`⇒ 2x^2 – 1 = 0`
`⇒2x^2 = 1 `
`⇒x^2=1/2`
`⇒ x=+-1/sqrt2`
Hence, the zeroes of the quadratic polynomial f(x) = `6x^2-3 are 1/sqrt2,-1/sqrt2`
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