Factoring polynomials

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