February 15 th, 2012. Factor the following. Determine whether to factor by GCF, Easy Trinomial (ET), Hard Trinomial (HT), Factoring By Grouping (FBG)—or.

Slides:

Advertisements

Similar presentations

Perfect Square Trinomials. Form for Perfect Square Trinomials: a 2 + 2ab + b 2 OR a 2 – 2ab + b 2.

Advertisements

1 7.5 Factoring Trinomials CORD Math Mrs. Spitz Fall 2006.

Factoring Decision Tree

Solve Notice that if you take ½ of the middle number and square it, you get the last number. 6 divided by 2 is 3, and 3 2 is 9. When this happens you.

Section 5.4 Factoring FACTORING Greatest Common Factor,

Factoring Polynomials. 1.Check for GCF 2.Find the GCF of all terms 3.Divide each term by GCF 4.The GCF out front 5.Remainder in parentheses Greatest Common.

Warm-up Multiply. 1) 2) 3) 4). Factor. 1) 2) 3) 4) 5) 6) 7) Objective - To recognize and use the Difference of Squares pattern.

Algebra 10.8 Factoring Completely.

9.5 Factoring Trinomials. 9.5 – Factoring Trinomials Goals / “I can…”  Factor trinomials.

Perfect Squares Lesson 8-9 Splash Screen.

5.2 – Solving Quadratic Equations by Factoring (Day 1) Algebra 2.

Lesson 5 Ex Honors Algebra Warm-up A square with side length x is cut from a right triangle shown at the right. What value of x will result in a.

Factoring General Trinomials Factoring Trinomials Factors of 9 are: REVIEW: 1, 93, 3.

Split the middle term to Factor Trinomials. Factoring trinomials of form: look for GCF find factors of c that add up to b Factors of -8:

Factoring Special Products. Factoring: The reverse of multiplication Use the distributive property to turn the product back into factors. To do this,

Objectives The student will be able to: Factor using the greatest common factor (GCF). Lesson 4-4.

Objectives: Students will be able to…  Write a polynomial in factored form  Apply special factoring patterns 5.2: PART 1- FACTORING.

Step 1: Place x 2 term and constant into the box 2x 2 2 PROBLEM: 2x 2 + 5x + 2.

Factor Perfect Squares and Factoring Algebra 1 Glencoe McGraw-HillLinda Stamper.

Factor the following special cases

  Different types of Quadratics:  GCF:  Trinomials:  Difference of Squares:  Perfect Square Trinomials: Factoring Quadratics.

Algebra 10.7 Factoring Special Products. Use the Patterns! (2x + 3) 2 (2p - 4) (2p + 4) (2x - y) 2 4x² + 12x + 9 4p² x² - 4xy + y² Perfect Square.

Factoring Polynomials. 1.Check for GCF 2.Find the GCF of all terms 3.Divide each term by GCF 4.The GCF out front 5.Remainder in parentheses Greatest Common.

Types of factoring put the title 1-6 on the inside of your foldable and #7 on the back separating them into sum and cubes 1.Greatest Common Factor 2.Difference.

Factoring trinomials ax² + bx +c a = any number besides 1 and 0.

Warm Up Factor out the GCF 1.-5x x x 3 +4x Factor 3. 4.

Difference of Two Perfect Squares

Factor the following. 1) 20x x – 302) x 2 + 4x – 96 3)14a 2 b - 63a 5 b 6 4)12x 3 +3x 2 +20x +5.

Binomial X Binomial The problems will look like this: (x – 4)(x + 9)

Factoring Trinomials Chapter 10.4 Part 2. Review: Factoring Quadratic Trinomials Find the factors of the last term. Which of those factors combine to.

ALGEBRA 1 Lesson 8-7 Warm-Up ALGEBRA 1 “Factoring Special Cases” (8-7) What is a “perfect square trinomial”? How do you factor a “perfect square trinomial”?

4.4 Factoring Quadratic Expressions Learning Target: I can find common binomial factors of quadratic expressions. Success Criteria: I can find the factors.

6.3 Adding, Subtracting, & Multiplying Polynomials p. 338 What are the two ways that you can add, subtract or multiply polynomials? Name three special.

Solving Quadratic Equations by Completing the Square

Completing the Square, Quadratic Formula

Graphing Quadratic Functions Solving by: Factoring

Objectives Factor perfect-square trinomials.

Warm Up 1.) What is the factored form of 2x2 + 9x + 10? 2.) What is the factored form of 6x2 – 23x – 4?

Simplify – Do not use a calculator

Factoring Special Cases

Solve 25x3 – 9x = 0 by factoring.

Do Now Determine if the following are perfect squares. If yes, identify the positive square root /16.

What numbers are Perfect Squares?

Factoring Special Cases :

Factoring Trinomials Algebra.

Solving Quadratic Equations by Completing the Square

Factoring by using different methods

Factoring Polynomials

6.4 Factoring Trinomials Day 1.

9.6 Perfect Squares & Factoring

Chapter 4 Review Polynomials.

More practice with trinomial factoring Exceptional Cases

a*(variable)2 + b*(variable) + c

4.4A Factoring: Leading Coefficient ≠1

Perfect Square Trinomials

ALGEBRA REVIEW PROBLEMS

Factoring Special Cases

Factor Special Products

4.3 Solving Quadratic Equations by Factoring

Warm-Up: Write down what remains. c..

Objectives Factor perfect-square trinomials.

Factoring a Trinomial with a Front “a” Coefficient

Factoring Polynomials.

6.6 Factoring Polynomials

Factoring Special Products

How to Solve Equations using Factoring

6-3 Completing the Square

8-9 Notes for Algebra 1 Perfect Squares.

4.3: Solving (Quadratic Equations) by Factoring

Presentation transcript:

February 15 th, 2012

Factor the following. Determine whether to factor by GCF, Easy Trinomial (ET), Hard Trinomial (HT), Factoring By Grouping (FBG)—or a combination! Write to the side the methods you used! First example is done… 1) 20x x - 30__GCF __HT_ 2 ) x 2 + 4x – 96______ ______ 3)14a 2 b - 63a 5 b 6 ______ ______ 4)12x 3 +3x 2 +20x +5______ ______

Multiply (x – 2) (x + 2)…. This product is a little different than the rest. What is it missing? A middle term!

If given x 2 – 4, and asked to factor, how could you set this up using what you know already? What is the middle coefficient, b ? What is the last number, c ? Can you find two numbers that add to be zero and multiply to be – 4 ? -4 0

a 2 - b 2 = (a - b) (a + b) x = (x - 2) (x + 2) x 2 – 4 = (x - 2) (x + 2) This only works for the DIFFERENCE, not sum/addition!

Factor x = (a - b) (a + b) What number squared is 9? So… (x - 3) (x + 3) Check your answer by FOIL or box!

What if there is a coefficient in the front? 4x 2 – 25 It works the same way! What number squared is 4? 25? (2x - 5) (2x + 5)

1) x 2 – 144 2) w 2 – 64 3) 16m 2 – 49 4) 9k 2 – 400

Multiply (x + 6) (x + 6)…. What do you notice about the product? Can you find a pattern?

a 2 + 2ab + b 2 = (a + b) (a + b) x 2 + 8x + 16 = (x + 4) (x + 4) x 2 +2(1)(4) = (x + 4) (x + 4) If you are having trouble recognizing the pattern, practice factoring like we did earlier.

1) x 2 + 6x + 9 2) x x + 25

a 2 - 2ab + b 2 = (a - b) (a - b) x x + 49= (x - 7) (x - 7) x 2 – 2(1)(7) = (x - 7) (x - 7) Why do we ADD b 2 ?

1) x x ) x x + 100

What if there is a coefficient in the front? 4x 2 – 12x + 9 What number squared is 4? 9? (2x - 3) Why is there a 12x in the middle? Check your answer!

1) 4x x ) 25z z + 16

1) 9n 2 – 42n ) 36d 2 – 60d + 25

Is 24g 2 -6 a difference of two squares? What should I do first? GCF = So…. 24g 2 – 6 = 6 (4g 2 – 1) = 6 (2g - 1) (2g + 1) Now factor using difference of squares!

1)27x x ) 8z z + 128

Find the side length of the square! Area = 25r r + 9

Factor: c 10 – 30c 5 d d

If 49x 2 – kx + 36 is a perfect square trinomial, what is the value of k?

Workbook pg. 247 Factoring Special Cases COMPLETE ALL ODDS! Workbook pg. 248 Choose any 5 questions between #26-43