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Drill #25. Simplify each expression. Drill #26. Find the GCF of the following monomials : Factor each polynomial using the GCF:. Drill #27. Factor each polynomial using the GCF: Factor by Grouping Factor the following trinomials:. Drill #28. Factor each polynomial using the GCF:

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Drill 25
Drill #25

Simplify each expression.


Drill 26
Drill #26

Find the GCF of the following monomials:

Factor each polynomial using the GCF:


Drill 27
Drill #27

Factor each polynomial using the GCF:

Factor by Grouping

Factor the following trinomials:


Drill 28
Drill #28

Factor each polynomial using the GCF:

Factor the following trinomials:


Drill 52
Drill #52

Factor each polynomial :


Drill 53
Drill #53

Factor each polynomial :


Drill 54
Drill #54

Factor each polynomial :


Gcf monomials
GCF: Monomials

To find the GCF of two monomials:

  • Find the GCF of the coefficients

  • For each common, the GCF is the common variable with the lower degree

  • Combine the GCF of the coefficients and the variables together to make one term


Gcf examples 8 1 study guide even problems
GCF Examples: 8-1 Study Guide (even problems)

Classwork: 8 – 16 (EVEN)


Factor polynomials gcf
Factor Polynomials: GCF

To factor polynomials:

  • Find the GCF of all terms in the polynmial

  • Use the distributive property to undistribute GCF

  • Factor the remaining expression (if possible)


Factor polynomials factor by grouping
Factor Polynomials: Factor by Grouping

To factor a polynomial by grouping (4 or 6 terms)

  • GCF Factor the first two (three) terms

  • GCF factor the last two (three) terms

  • If there is a common factor between them, factor it (undistribute)

    Ex: 6ax + 3ay + 2bx + by


Factoring polynomials
Factoring Polynomials*

Always GCF factor 1st!!!!!!!

1. GCF Factoring

2. Two Terms:

- Difference of Squares

- Difference of Cubes

- Sum of Cubes

3. Three Terms:

Trinomial Factoring

4. Four or More Terms

Factor by Grouping


Multiply binomials
Multiply binomials:

What is ( x + 2) (x + 5)?


Trinomial factoring three terms
Trinomial Factoring: Three Terms*

Factoring:

Where m + n = b

and m(n) = c

To factor trinomials make a factor sum table!


Trinomial factoring examples
Trinomial Factoring Examples*

Example 1a, b: 8-3 Study Guide

Classwork: 2-8 (even)


Factoring trinomials with 2 2 nd degree terms
Factoring Trinomials with 2 2nd Degree Terms

Example:#20


Trinomial factoring three terms factor by grouping method
Trinomial Factoring: Three Terms*: Factor by Grouping Method

Factoring:

1. GCF factor (if possible)

2. Find factors m,n of a*c (that add up to b)

3. Change bxto mx + nx

4. Factor by grouping

Ex:

To factor trinomials make a factor sum table!


Trinomial factoring three terms illegal method
Trinomial Factoring: Three Terms*: Illegal Method

Factoring:

1. GCF factor (if possible)

2. Multiply ac and rewrite as

3. Factor to (x + m)(x + n)

4. Divide m and n by a and reduce fractions

5. The denom. of any fractions that don’t reduce become coefficients

To factor trinomials make a factor sum table!


Trinomial factoring examples1
Trinomial Factoring Examples*

Example 1, 2:8-4 Study Guide

Classwork:

8-4 Study Guide#2 – 8 (even)


Foil the following binomials
FOIL the following binomials

What is (x – 4 )(x + 4)


Two terms factoring difference of squares
Two Terms: Factoring Difference of Squares*

To factor difference of squares:

Examples:


Two terms factoring sum of cubes
Two Terms: Factoring Sum of Cubes*

To factor sum of cubes:

Example:


Two terms factoring difference of cubes
Two Terms: Factoring Difference of Cubes*

To factor difference of cubes:

Examples:


Classwork 6 5 study guide
Classwork: 6-5 Study Guide

#1 – 9 All


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