Quick Check for Factoring Polyno
Quick Check for Factoring Polynomials
Number  Of  Terms  
CHECK FOR  Two  Three  Four or M 
Greatest Common Factor  
Grouping by Pairs  
Difference of Squares a^{2} b^{2} = (a + b)(a  b) 

Perfect Square Trinomial a ^{2}+2ab+b^{2} =(a+b)^{2} a^{2} 2ab+b^{2} =(ab)^{2}


Grouping method ( Product / Sum method ) or Reverse FOIL 
Points to Remember:
1. Always look for a GCF first, no matter how many terms are
in the polynomial .
2. A sum of squares is prime (unless there is a GCF).
3. You can only ‘insert’ the pair of numbers (found when
using grouping to factor a trinomial ), if the leading
coefficient is a 1.
4. Always write a trinomial in descending order (if there is
one variable ) before trying to factor using grouping or
reversing FOIL.
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