Most trinomials are not quadratics, and many quadratics (if either of a and b is zero) are not trinomials. However, for some reason, many textbooks and instructor conflate the two, so they would have titled this
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To factor a "hard" quadratic, we have to handle all three coefficients, not just the two we handled in the "easy" case, because the leading coefficient adds to the mix and makes things much messier. MathHelp.com Trinomials with Lead Coefficients How do you factor a quadratic when a is ...
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