How do you factorise x^2 +5x+6?
So firstly, you need to find two numbers that multiply to make 6 and add to make 5 Make a list of numbers that multiply to make 6 i.e. 16 and 32
So you can either have (x 6)(x 1) OR (x 3)(x 2)
Now you see that in x2 +5x+6, the 6 and 5 are both positive therefore there has to be an addition sign in both brackets therefore the only possibility is (x + 3)(x + 2) as if you used 6 and 1, their addition would make 7 which is not what we are looking for
JP
Related Maths GCSE answers
All answers ▸Solve algebraically the simultaneous equations 2x+y=5 and 3x+y=7, for x and y.
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Expand and simplify (x − 4)(2x + 3y)^2
From factorising a^2-b^2 hence or otherwise simplify fully (x^2 + 4)^2 - (x^2-2)^2