1. College Algebra and Trigonometry
Dr.Maryam T. Al Dossary
Factoring
Polynomials

2. OBJECTIVES
At the end of this lesson, you should be able to:
1. Factor out the greatest common factor
2. Factor a Polynomial by grouping
3. FactorTrionomials
4. Factor Bionomials
5. Factor by Substitution

3. FACTORIN G OUTTHEGREATEST
COMMON FACTOR
Factor out thegreatest common factor from each
polynomial
Solution
Example1
)a(

4. FACTORIN G OUTTHEGREATEST
COMMON FACTOR
Factor out thegreatest common factor from each
polynomial
Solution
Example1
)b(

5. FACTORIN G BY GROUPING
Factor each polynomial by grouping
Solution
Example2
)a(

6. FACTORIN G BY GROUPING
Factor each polynomial by grouping
Solution
Example2
)b(

7. Factoring Trinomials
As shown here, factoring is the opposite of multiplication
multiplication
factoring

8. FACTORIN G TRINOMIALS
Factor each trinomial, if possible
Solution
Example3
)a(

9. FACTORIN G TRINOMIALS
Factor each trinomial, if possible
Solution
Example3
)b(

10. FACTORIN G TRINOMIALS
Factor each trinomial, if possible
Solution
Example3
)c(

11. FACTORIN G TRINOMIALS
Factor each trinomial, if possible
Solution
Example3
)d(

12. FACTORIN G TRINOMIALS
Factor each trinomial, if possible
Solution
Example3
)e(

13. Factoring Perfect Square Trinomials

14. FACTORIN PERFECTSQUARE
TRINOMIALS
Factor each trinomial
Solution
Example4
)a(

15. FACTORIN PERFECTSQUARE
TRINOMIALS
Factor each trinomial
Solution
Example4
)b(

16. Factoring Binomials

17. FACTORING DIFFERENCES
OFSQUARES
Factor each polynomial
Solution
Example5
)a(

18. FACTORING DIFFERENCES
OFSQUARES
Factor each polynomial
Solution
Example5
)b(

19. FACTORING SUMOR
DIFFERENCES OFSQUARES
Factor each polynomial
Solution
Example6
)a(

20. FACTORING SUMOR
DIFFERENCES OFSQUARES
Factor each polynomial
Solution
Example6
)b(

21. FACTORING BY
SUBSTITUTION
Factor each polynomial
Solution
Example7
)a(

22. FACTORING BY
SUBSTITUTION
Factor each polynomial
Solution
Example7
)b(

23. FACTORING BY
SUBSTITUTION
Factor each polynomial
Solution
Example7
)c(

24. thank You
Questions