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# M12 topic 3 Extra Notes

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Factoring Part I - The Basics http://www.rock.uwc.edu/academics/tutoring/lsc/handouts/Factoring%20Summary.pdf

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### M12 topic 3 Extra Notes

1. 1. Module 12 Topic 3 Facto Polyno ring mials
3. 3. GCF • Pull out the Greatest Common Factor If Possible • Sum of Squares (DOES NOT FACTOR – It is Prime!!!)Two Terms? • Difference of Squares (Formula) • Sum of Cubes (Formula) • Difference of Cubes (Formula) • Quadratic Trinomials: ax2 + bx + c , a = 1Three Terms? • Quadratic Trinomials: ax2 + bx + c , a ≠ 1 • Quadratic Trinomials: ax2 + bx + c , may factor into the square of a binomialFour Terms? •Factor by GroupingAny Equation •Factor Completely: May need to use a combination of the above Methods
4. 4. GCF •Pull out the Greatest Common Factor If Possible 2 2 x 6x 3 1 x 6x 3 1 is the GCFhttp://www.rock.uwc.edu/academics/tutoring/lsc/handouts/Factoring%20Summary.pdf
5. 5. GCF •Pull out the Greatest Common Factor If Possible 3 2 4 5 3 2 3 6x y 18x y 6 x y 1 3xy 3 2 6 x y is the GCFhttp://www.rock.uwc.edu/academics/tutoring/lsc/handouts/Factoring%20Summary.pdf
6. 6. Perfect Squares, Prefect Cubes, etc.
7. 7. •Sum of Squares (DOES NOT FACTOR – It is Prime!!!) Two Terms? •Difference of Squares (Formula) •Sum of Cubes (Formula) •Difference of Cubes (Formula)http://www.rock.uwc.edu/academics/tutoring/lsc/handouts/Factoring%20Summary.pdf
8. 8. •Sum of Squares (DOES NOT FACTOR – It is Prime!!!) Two Terms? •Difference of Squares (Formula) •Sum of Cubes (Formula) •Difference of Cubes (Formula)http://www.rock.uwc.edu/academics/tutoring/lsc/handouts/Factoring%20Summary.pdf
9. 9. •Sum of Squares (DOES NOT FACTOR – It is Prime!!!) Two Terms? •Difference of Squares (Formula) •Sum of Cubes (Formula) •Difference of Cubes (Formula)http://www.rock.uwc.edu/academics/tutoring/lsc/handouts/Factoring%20Summary.pdf
10. 10. Three Terms? •Quadratic Trinomials: ax2 + bx + c , a = 1 •Quadratic Trinomials: ax2 + bx + c , a ≠ 1 •Quadratic Trinomials: ax2 + bx + c , may factor into the square of a binomialhttp://www.rock.uwc.edu/academics/tutoring/lsc/handouts/Factoring%20Summary.pdf
11. 11. Three Terms? •Quadratic Trinomials: ax2 + bx + c , a = 1 •Quadratic Trinomials: ax2 + bx + c , a ≠ 1 •Quadratic Trinomials: ax2 + bx + c , may factor into the square of a binomialhttp://www.rock.uwc.edu/academics/tutoring/lsc/handouts/Factoring%20Summary.pdf
12. 12. Four Terms? •Factor by Groupinghttp://www.rock.uwc.edu/academics/tutoring/lsc/handouts/Factoring%20Summary.pdf
13. 13. Any Equation •Factor Completely: May need to use a combination of the above Methodshttp://www.rock.uwc.edu/academics/tutoring/lsc/handouts/Factoring%20Summary.pdf
14. 14. Good luck and ask your teacher for help if needed.
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