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 Number of equations to solve: 23456789
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 Dependent Variable

 Number of inequalities to solve: 23456789
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# Factoring General Polynomials (Grouping Number GN)

 WHAT TO DO: HOW TO DO IT: Example: 6x2 + 23x + 20 6x2 + 23x + 20 Multiply 6Â· 20: GN 6Â·20 = 120 Find pairs of integer factors (largest first) Sign before last term is + so find pair with the SUM of 23 15 + 8 = 23 Both have same sign as middle number + 23 +15, + 8 Rewrite polynomial 6x2 + 23x + 20 with 4 terms having correct signs: 6x2 + 15x + 8x + 20 Group terms 2 by 2 6x2 + 15x + 8x + 20 Factor common term from each group: 3x(2x + 5) + 4(2x + 5) Note that (2x + 5) is now common factor and factor it out to get: (3x + 4)(2x + 5) Multiply by FOIL to check: Check: Always Check:

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