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  • https://math.libretexts.org/Courses/Borough_of_Manhattan_Community_College/MAT_206.5/Chapter_4A%3A_Algebra_Topics/4A.02%3A_Factor_Trinomials
    To figure out how we would factor a trinomial of the form x2+bx+c, such as x2+5x+6 and factor it to (x+2)(x+3), let’s start with two general binomials of the form (x+m) and (x+n)...To figure out how we would factor a trinomial of the form x2+bx+c, such as x2+5x+6 and factor it to (x+2)(x+3), let’s start with two general binomials of the form (x+m) and (x+n). Another way to factor trinomials of the form ax2+bx+cax2+bx+c is the “ac” method. (The “ac” method is sometimes called the grouping method.) The “ac” method is actually an extension of the methods you used in the last section to factor trinomials with leading coefficient one.

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