Factors of a²+5a+6
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Soln: a²-5a+6 = 0 [ '0′ is b/z, every quadratic eqn.s contains 0)
a²-6a+a+6 = 0 [b/z, by splitting 6 into 6×1 as it should give a constant by adding or subtracting them both]
Now, take the common terms out by grouping the terms into two which we can get two common terms. So, we get
a(a-6)-1(a-6) = 0
(a-6)(a-1) = 0
Now, we know that principle that, “if a.b = 0, then a = 0 or b = 0.” Therefore, from this we can write it as,
(a-6) = 0 or (a-1) = 0
a = 0+6 or a = 0+1
Therefore, a = 6 or a = 1 as, a quadratic eqn has two roots.
So, this is the method of factorisation for your problem. Thank you.
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