Drill 25 Simplify each expression Drill 26 Find

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Drill #25 Simplify each expression.

Drill #25 Simplify each expression.

Drill #26 Find the GCF of the following monomials: Factor each polynomial using the

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

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 #28 Factor each polynomial using the GCF: Factor the following trinomials:

Drill #52 Factor each polynomial :

Drill #52 Factor each polynomial :

Drill #53 Factor each polynomial :

Drill #53 Factor each polynomial :

Drill #54 Factor each polynomial :

Drill #54 Factor each polynomial :

GCF: Monomials To find the GCF of two monomials: • Find the GCF of

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) Classwork: 8 – 16 (EVEN)

GCF Examples: 8 -1 Study Guide (even problems) Classwork: 8 – 16 (EVEN)

Factor Polynomials: GCF To factor polynomials: • Find the GCF of all terms in

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

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: 6 ax + 3 ay + 2 bx + by

Factoring Polynomials* Always GCF factor 1 st!!!!!!! 1. GCF Factoring 2. Two Terms: -

Factoring Polynomials* Always GCF factor 1 st!!!!!!! 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)?

Multiply binomials: What is ( x + 2) (x + 5)?

Trinomial Factoring: Three Terms* Factoring: Where m + n = b and m(n) =

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 1 a, b: 8 -3 Study Guide Classwork: 2 -8

Trinomial Factoring Examples* Example 1 a, b: 8 -3 Study Guide Classwork: 2 -8 (even)

Factoring Trinomials with 2 2 nd Degree Terms Example: #20

Factoring Trinomials with 2 2 nd Degree Terms Example: #20

Trinomial Factoring: Three Terms*: Factor by Grouping Method Factoring: 1. 2. 3. 4. GCF

Trinomial Factoring: Three Terms*: Factor by Grouping Method Factoring: 1. 2. 3. 4. GCF factor (if possible) Find factors m, n of a*c (that add up to b) Change bx to mx + nx Factor by grouping Ex: To factor trinomials make a factor sum table!

Trinomial Factoring: Three Terms*: Illegal Method Factoring: 1. 2. 3. 4. 5. GCF factor

Trinomial Factoring: Three Terms*: Illegal Method Factoring: 1. 2. 3. 4. 5. GCF factor (if possible) Multiply ac and rewrite as Factor to (x + m)(x + n) Divide m and n by a and reduce fractions 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

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)

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 Difference of Squares* To factor difference of squares: Examples:

Two Terms: Factoring Sum of Cubes* To factor sum of cubes: Example:

Two Terms: Factoring Sum of Cubes* To factor sum of cubes: Example:

Two Terms: Factoring Difference of Cubes* To factor difference of cubes: Examples:

Two Terms: Factoring Difference of Cubes* To factor difference of cubes: Examples:

Classwork: 6 -5 Study Guide #1 – 9 All

Classwork: 6 -5 Study Guide #1 – 9 All