Factoring Trinomials Using the X- Method (2021)

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This video describes how to factor trinomials using the X-Method.
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Can you please make a video explaining why this algorithm works? Why do you put the leading coefficient twice? Is it because when you multiply AC (by something greater than 1), you increase the factors of the constant by the same amount, and you basically divide in the end to compensate for this. Thanks, in advance.

chocolateangel
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What if the 30 is positive and the 13 is negative?

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