Mathematics
Factorise the following:
6x2 - 7x - 3
Factorisation
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Answer
To factorise 6x2 - 7x - 3, we want to find two real numbers whose sum is -7 and product is 6 × (-3) = -18. By trial, we see that -9 + 2 = -7 and -9 × 2 = -18.
∴ 6x2 - 7x - 3 = 6x2 - 9x + 2x - 3
= 3x(2x - 3) + 1(2x - 3)
= (2x - 3)(3x + 1).
Hence, 6x2 - 7x - 3 = (2x - 3)(3x + 1).
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