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Could someone please direct me to a proof of how this works?

3x^2 + 5x - 2

Multiply ac. Their product becomes the new constant, and a temporarily turns into a 1.

x^2 + 5x - 6

Factor this as normal.

(x + 3) (x - 2)

Divide each new constant by the original a. If the quotient is an integer, replace that with the old constant. If the quotient is not an integer, simplify the quotient, and then the numerator is the constant, and the denominator is the coefficient of that factor.

(x + 1) (3x - 2)

This is not the AC method with grouping, which I can find proofs for. I am not sure the name of this factoring method or what a proof would be. Thank you!

Bill Dubuque
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