Drill #25

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# Drill #25 - PowerPoint PPT Presentation

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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Presentation Transcript
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:

Factor the following trinomials:

Drill #52

Factor each polynomial :

Drill #53

Factor each polynomial :

Drill #54

Factor each polynomial :

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
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

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*

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:

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

Trinomial Factoring: Three Terms*

Factoring:

Where m + n = b

and m(n) = c

To factor trinomials make a factor sum table!

Trinomial Factoring Examples*

Example 1a, b: 8-3 Study Guide

Classwork: 2-8 (even)

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

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 Examples*

Example 1, 2:8-4 Study Guide

Classwork:

8-4 Study Guide#2 – 8 (even)

FOIL the following binomials

What is (x – 4 )(x + 4)

Two Terms: Factoring Difference of Squares*

To factor difference of squares:

Examples:

Two Terms: Factoring Sum of Cubes*

To factor sum of cubes:

Example:

Two Terms: Factoring Difference of Cubes*

To factor difference of cubes:

Examples: