Mathematics
Factorise the following:
2x2 - x - 6
Factorisation
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Answer
To factorise 2x2 - x - 6, we want to find two real numbers whose sum is -1 and product is 2 × (-6) = -12. By trial, we see that -4 + 3 = -1 and -4 × 3 = -12.
∴ 2x2 - x - 6 = 2x2 - 4x + 3x - 6
= 2x(x - 2) + 3(x - 2)
= (x - 2)(2x + 3).
Hence, 2x2 - x - 6 = (x - 2)(2x + 3).
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