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Factorize (i) x^2+5sqrt(3)x +12 (ii)...

Factorize
`(i) x^2+5sqrt(3)x +12`
`(ii) x^2+3sqrt(3)x-30`

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To factorize the given polynomials, we will follow a systematic approach for each equation. ### (i) Factorize \( x^2 + 5\sqrt{3}x + 12 \) 1. **Identify the coefficients**: Here, \( a = 1 \), \( b = 5\sqrt{3} \), and \( c = 12 \). 2. **Find two numbers that multiply to \( ac \) (which is \( 1 \times 12 = 12 \)) and add to \( b \) (which is \( 5\sqrt{3} \))**: - We need to find two numbers \( m \) and \( n \) such that: - \( m \cdot n = 12 \) ...
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