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College Algebra and TrigonometryCollege Algebra and Trigonometry
Dr.Maryam T. Al DossaryDr.Maryam T. Al Dossary
Factoring Polynomials
Factoring Polynomials
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. Factor Trionomials
4. Factor Bionomials
5. Factor by Substitution
FACTORIN G OUT THE GREATEST COMMON FACTOR
Factor out the greatest common factor from each polynomial
Solution
Example1
(a)
FACTORIN G OUT THE GREATEST COMMON FACTOR
Factor out the greatest common factor from each polynomial
Solution
Example1
(b)
FACTORIN G BY GROUPING
Factor each polynomial by grouping
Solution
Example2
(a)
FACTORIN G BY GROUPING
Factor each polynomial by grouping
Solution
Example2
(b)
Factoring Trinomials
As shown here, factoring is the opposite of multiplication
multiplication
factoring
FACTORIN G TRINOMIALS
Factor each trinomial, if possible
Solution
Example3
(a)
FACTORIN G TRINOMIALS
Factor each trinomial, if possible
Solution
Example3
(b)
FACTORIN G TRINOMIALS
Factor each trinomial, if possible
Solution
Example3
(c)
FACTORIN G TRINOMIALS
Factor each trinomial, if possible
Solution
Example3
(d)
FACTORIN G TRINOMIALS
Factor each trinomial, if possible
Solution
Example3
(e)
Factoring Perfect Square Trinomials
FACTORIN PERFECT SQUARE TRINOMIALS
Factor each trinomial
Solution
Example4
(a)
FACTORIN PERFECT SQUARE TRINOMIALS
Factor each trinomial
Solution
Example4
(b)
Factoring Binomials
FACTORING DIFFERENCES OF SQUARES
Factor each polynomial
Solution
Example5
(a)
FACTORING DIFFERENCES OF SQUARES
Factor each polynomial
Solution
Example5
(b)
FACTORING SUM OR DIFFERENCES OF
SQUARESFactor each polynomial
Solution
Example6
(a)
FACTORING SUM OR DIFFERENCES OF
SQUARESFactor each polynomial
Solution
Example6
(b)
FACTORING BY SUBSTITUTION
Factor each polynomial
Solution
Example7
(a)
FACTORING BY SUBSTITUTION
Factor each polynomial
Solution
Example7
(b)
FACTORING BY SUBSTITUTION
Factor each polynomial
Solution
Example7
(c)
Thank You
Questions