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 Depdendent Variable

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 Dependent Variable

 Number of inequalities to solve: 23456789
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# Factoring General Polynomials

 WHAT TO DO: HOW TO DO IT: Given general trinomial of type that has no common factor. [Read Â± as + or − ] Read the â€œclues of the signsâ€. Find product of first and last coefficients. This is the grouping number (GN) GN AÂ·C = P Find all possible factors of GN = P whose sum or difference is B (depending on the sign before C.) + sum or − difference P = rÂ·s , r > s (r + s) = B   (r − s) = B 1) + sum both factors get middle sign 2) − difference largest factor gets middle sign Regroup: into 4 terms, with the proper signs then factor by grouping. Ax2 Â± rx Â± sx Â± C (ax Â± b)(cx Â± d) Try the following example before you turn the page: Example: 6x2 + 23x + 20 6x2 + 23x + 20