Drill 25 Simplify each expression Drill 26 Find
- Slides: 24
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
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 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: 6 ax + 3 ay + 2 bx + by
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)?
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 (even)
Factoring Trinomials with 2 2 nd Degree Terms Example: #20
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 (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 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:
Classwork: 6 -5 Study Guide #1 – 9 All
- For questions 1–2, simplify each expression.
- Reverse distributive property
- Substitution property of equality
- Perfect squares list
- Simplify each expression
- Describe how to simplify the expression .
- Simplify the expression below
- Simplify each expression
- Simplify each expression
- Simplify each absolute value expression
- Simplify each expression.
- Lesson 11-3 solving radical equations answers
- Lesson 4 work with algebraic expressions
- More multiplication properties of exponents
- Simplifying rational expressions
- Simplify the expression.
- Simplify expressions calculator
- 1/ 5 as a decimal
- Use the distributive property to simplify the expression
- Simplify rational expression
- K map
- Simplify the following trigonometric expression
- Boolean expression
- Combine like terms examples
- Use the fundamental identities to simplify the expression