Difference Between x^2 + ax + b and ax^2 + bx + c?

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The discussion clarifies that the expressions x^2 + ax + b and ax^2 + bx + c are fundamentally similar when a equals 1. The AC factoring method can be applied to both forms, indicating they can be factored similarly. It is emphasized that any quadratic expression in x can be represented in either format. Therefore, the distinction between the two forms is minimal under specific conditions. Understanding these expressions aids in simplifying quadratic equations effectively.
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Is there a difference between the form x^2 + ax + b and ax^2 + bx + c? I ask because I can use the AC factoring method for them both.
 
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The AC factoring method? I don't know of that one. The first form is the same as the second form where a=1.
 
they are the same. any quadratic expression in x can be expressed both ways.

cheers
 
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