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