3)Factoring Review - Mixed

Checklist for Factoring: 

1)Is there a GCF?\begin{array}{l} 2x - 6\\ 2(x - 3) \end{array} 
2)  Is this the difference of perfect squares?\begin{array}{l} {x^2} - 25\\ (x - 5)(x + 5) \end{array} 
3) Is this a trinomial?  Find the factors of c that add up to b.{x^2} - 7x + 6
\left( {x - 1} \right)\left( {x - 6} \right) 
4)Is this a trinomial with a>1?  Use the rainbow method2{x^2} + 7x + 3               (2)(3)=6
\frac{{\left( {2x{\rm{   }}} \right)\left( {2x{\rm{   }}} \right)}}{2}                                        factor/sum: 
                                                +1,+6=+7
\frac{{\left( {2x + 1} \right)\left( {2x + 6} \right)}}{2}
\frac{{\left( {2x + 1} \right)\not 2\left( {x + 3} \right)}}{{\not 2}}  =\left( {2x + 1} \right)\left( {x + 3} \right) 

  Mixed Review Examples

 Factor Completely. 
 1)GCF? No.
2)DOTS? Yes.
\sqrt {9{p^2}}  = 3p,\sqrt {25}  = 5 
C) \left( {3p + 5} \right)\left( {3p - 5} \right) 

 Factor Completely.

 (A)
 Factor Completely
 (A)
 Factor Completely.  
(D)
 Factor Completely.
 (C)



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