Mathematics
Factorise the following:
6x2 + 11x - 10
Factorisation
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Answer
To factorise 6x2 + 11x - 10, we want to find two real numbers whose sum is 11 and product is 6 × (-10) = -60. By trial, we see that 15 + (-4) = 11 and 15 × -4 = -60.
∴ 6x2 + 11x - 10 = 6x2 + 15x + (-4x) - 10
= 6x2 + 15x - 4x - 10
= 3x(2x + 5) - 2(2x + 5)
= (2x + 5)(3x - 2).
Hence, 6x2 + 11x - 10 = (2x + 5)(3x - 2).
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