Factorise x2−x−156 We havex2−x−156We have to split -1

Factorise x2−x−156  We havex2−x−156We have to split -1
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Factorise 
x2x156

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Right Answer is:

SOLUTION

We have:

x2x156

We have to split (-1) into two numbers such that their sum is ( -1) and their product is (-156).

Clearly, 13+12=1 and 13×12=156.

x2x156=x213x+12x156=x(x13)+12(x13)=(x13)(x+12)