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Question
Factorize `2x^2 + 3sqrt5x + 5`
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Solution
Splitting the middle term,
`= 2x^2 + 2sqrt5x + sqrt5x + 5` `[∵ 3sqrt5 = 2sqrt5 + sqrt5 " also " 2sqrt5 xx 5]`
`= 2x(x + sqrt5) + sqrt5(x + sqrt5)`
`= (x + sqrt5)(2x + sqrt5)`
`∴ 2x^2 + 3sqrt5x + 5 = (x = sqrt5)(2x + sqrt5)`
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