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 Depdendent Variable

 Number of equations to solve: 23456789
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 Dependent Variable

 Number of inequalities to solve: 23456789
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# Factoring by Grouping

## Factor Quadratic Polynomials:

 WHAT TO DO: HOW TO DO IT: Look at the polynomial's 4 terms to see if they can be grouped two terms by two terms. Bring down the middle sign. x2 + 7x + 2x + 14 x2 + 7x + 2x + 14 Find the common factor for each group. The factors in parentheses are the same for both groups. x(x + 7) + 2(x +7) Now, the common factor in each group is (x + 7). Underline it. x(x + 7) + 2(x + 7) Factor out the common factor (x + 7)(x +2) Answer ⇒ Check by multiplying back out by FOIL method. First - Outer - Inner - Last Note O-I terms. Try another: 3x2 - 9x + 2x - 6 Group 2 Ã— 2: 3x2 − 9x + 2x − 6 Factor common factors 3x(x − 3) + 2(x - 3) Factor common terms in ( ... ) (x − 3)(3x + 2) Answer Check by multiplying FOIL:

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