Module 12 Topic 3

Factoring

Polynomials

http://www.rock.uwc.edu/academics/tutoring/lsc/handouts/Factoring%20Summary.pdf

• Pull out the Greatest Common Factor If PossibleGCF

• Sum of Squares (DOES NOT FACTOR – It is Prime!!!)• Difference of Squares (Formula)• Sum of Cubes (Formula)• Difference of Cubes (Formula)

Two 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

binomialThree Terms?

Four Terms?

Any Equation

•Factor by Grouping

•Factor Completely: May need to use a combination of the above Methods

GCF •Pull out the Greatest Common Factor If Possible

GCFtheis

xxxx

1

36136 22

http://www.rock.uwc.edu/academics/tutoring/lsc/handouts/Factoring%20Summary.pdf

GCF •Pull out the Greatest Common Factor If Possible

GCFtheisyx

xyyxyxyx

6

31618623

3235423

http://www.rock.uwc.edu/academics/tutoring/lsc/handouts/Factoring%20Summary.pdf

Perfect Squares, Prefect Cubes, etc.

•Sum of Squares (DOES NOT FACTOR – It is Prime!!!)•Difference of Squares (Formula)•Sum of Cubes (Formula)•Difference of Cubes (Formula)

Two Terms?

http://www.rock.uwc.edu/academics/tutoring/lsc/handouts/Factoring%20Summary.pdf

•Sum of Squares (DOES NOT FACTOR – It is Prime!!!)•Difference of Squares (Formula)•Sum of Cubes (Formula)•Difference of Cubes (Formula)

Two Terms?

http://www.rock.uwc.edu/academics/tutoring/lsc/handouts/Factoring%20Summary.pdf

•Sum of Squares (DOES NOT FACTOR – It is Prime!!!)•Difference of Squares (Formula)•Sum of Cubes (Formula)•Difference of Cubes (Formula)

Two Terms?

http://www.rock.uwc.edu/academics/tutoring/lsc/handouts/Factoring%20Summary.pdf

•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 binomialThree Terms?

http://www.rock.uwc.edu/academics/tutoring/lsc/handouts/Factoring%20Summary.pdf

•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 binomialThree Terms?

http://www.rock.uwc.edu/academics/tutoring/lsc/handouts/Factoring%20Summary.pdf

Four Terms? •Factor by Grouping

http://www.rock.uwc.edu/academics/tutoring/lsc/handouts/Factoring%20Summary.pdf

•Factor Completely: May need to use a combination of the above MethodsAny Equation

http://www.rock.uwc.edu/academics/tutoring/lsc/handouts/Factoring%20Summary.pdf

Good luck and ask your teacher for help if

needed.