Mathematics
Factorise the following:
2x2 - 7x + 6
Factorisation
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Answer
To factorise 2x2 - 7x + 6, we want to find two real numbers whose sum is -7 and product is 2 × 6 = 12. By trial, we see that (-4) + (-3) = -7 and -4 × -3 = 12.
∴ 2x2 - 7x + 6 = 2x2 - 4x + (-3x) + 6
= 2x2 - 4x - 3x + 6
= 2x(x - 2) - 3(x - 2)
= (x - 2)(2x - 3).
Hence, 2x2 - 7x + 6 = (x - 2)(2x - 3).
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