When we factor this equation the correct answer would be "-2x(7 + 6x)". But why would "2x(-7-6x)" be wrong?
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Step-by-step explanation:
Although it is right,
The rule is that we stop factoring, if we can't factor out a constant that isn't 1.
In your example, we can still factor out-1.
The factorization 2x(-7-6x) is not wrong because distributing the outer 2x to each term inside gets us
which leads back to -14x-12x^2
Therefore, 2x(-7-6x) = -14x - 12x^2 is true.
Convention usually has us pull out the negative so the terms inside are all positive. This is just a practice done. There technically isn't any right way vs wrong way to factor, when we compare the two different factorizations. I think it's more of a subjective style than anything.