Factorization of x² + x - 2 is?
- (x + 2)(x + 1)
- (x - 2)(x + 1)
- (x + 2)(x - 1)
- 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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