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Sticky Note
Factorization of x² + x - 2 is?
  1. (x + 2)(x + 1)
  2. (x - 2)(x + 1)
  3. (x + 2)(x - 1)
  4. None of these
Explanation

Factorize x² + x - 2  

We need 2 numbers that:  

1. Multiply to -2 (last term)  

2. Add to +1 (middle term coefficient)  

Those numbers are +2 and -1, because 2 × (-1) = -2 and 2 + (-1) = 1  

So split middle term: x² + 2x - 1x - 2  

Group: x(x + 2) - 1(x + 2)  

Take common: (x + 2)(x - 1)


Last verified on 16-06-2026

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