Quick Check For Factoring Polynomials
Quick Check for Factoring Polynomials
| |Number |Of |Terms |
|CHECK FOR |Two |Three |Four or More |
|Greatest Common Factor |[pic] |[pic] |[pic] |
|Difference of Squares |[pic] | | |
|[pic] | | | |
|Perfect Square Trinomial | |[pic] | |
|[pic] | | | |
|Grouping method | |[pic] | |
|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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