Factorise x2−x−156 We havex2−x−156We have to split -1
![Factorise x2−x−156 We havex2−x−156We have to split -1](/img/relate-questions.png)
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Factorise
x2−x−156
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Right Answer is:
SOLUTION
We have:
x2−x−156
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.
∴x2−x−156=x2−13x+12x−156=x(x−13)+12(x−13)=(x−13)(x+12)