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Question
Factorize `x^2 + 2sqrt3x - 24`
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Solution
Splitting the middle term,
`= x^2 + 4sqrt3x - 2sqrt3x - 24` `[∴ 2sqrt3 = 4sqrt3 - 2sqrt3 " also " 4sqrt3(-2sqrt3) = -24]`
`= x(x + 4sqrt3) - 2sqrt3(x + 4sqrt3)`
`= (x + 4sqrt3)(x - 2sqrt3)`
`∴ x^2 + 2sqrt3x - 24 = (x + 4sqrt3)(x - 2sqrt3)`
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