Warmup 1.) 16x2 – 81 2.) 3x2 - 147 3.) 9x7 + 15x3 -18 x5 4.) 2x2 + 5x - 12.

Slides:



Advertisements
Similar presentations
FACTORING POLYNOMIALS Honors Advanced Algebra Presentation 2-5.
Advertisements

ALGEBRA 1 REVIEW FACTORING/EXPONENTS Chapter 1 Section 3.
11.1 – The Greatest Common Factor (GCF)
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.
PATTERNS, ALGEBRA, AND FUNCTIONS
Completing the Square 4-6 Day 1 Today’s Objective: I can use the process of completing the square to solve or rewrite a quadratic equation.
Factoring General Trinomials Factoring Trinomials Factors of 9 are: REVIEW: 1, 93, 3.
R Review of Basic Concepts © 2008 Pearson Addison-Wesley. All rights reserved Sections R.1–R.4.
Day Problems Factor each expression. 1.x 2 – a 2 – m 2 – 144m v 2 – 220v n 2 – 225.
6-7 Factoring: A General Strategy Warm-up Problems Factor
Factoring and Solving Polynomial Equations (Day 1)
Factoring a Binomial There are two possibilities when you are given a binomial. It is a difference of squares There is a monomial to factor out.
Special Cases of Factoring Chapter 5.5 Perfect Square Trinomials a 2 + 2ab + b 2 (a + b) 2 = a 2 – 2ab + b 2 (a – b) 2 =
4.4 Factoring Quadratic Expressions P Factoring : Writing an expression as a product of its factors. Greatest common factor (GCF): Common factor.
Factoring Checklist Works every time!. 1. Check to see if there is a GCF. If so, factor it out. 3xy² + 12xy.
A Brief Review of Factoring Chapter ( ) x 2 2(x)(-6) = -12x GCF = x 2 = 3(x – 6) 2 36 = 2. Are the 1 st and 3 rd terms perfect squares 3. Is 2 nd.
5.7 Completing the Square. Warm-up #1 Solve Warm-up #2 Solve.
Factoring General Trinomials Factoring Trinomials Factors of 9 are: REVIEW: 1, 93, 3.
Factoring Differences of Squares. Remember, when factoring, we always remove the GCF (Greatest Common Factor) first. Difference of Squares has two terms.
Skills Check Factor. 1. x 2 + 2x – x x x 2 + 6x – x x x x + 15.
Questions over hw?.
Special Cases of Factoring Chapter Check to see if there is a GCF. 2. Write each term as a square. 3. Write those values that are squared as the.
  Different types of Quadratics:  GCF:  Trinomials:  Difference of Squares:  Perfect Square Trinomials: Factoring Quadratics.
2.4 part 1 - Basic Factoring I can... - Factor using GCF -Factor a difference of two perfect squares -Factor basic trinomials.
Warm Ups Term 2 Week 3. Warm Up 10/26/15 1.Add 4x 5 – 8x + 2 and 3x x – 9. Write your answer in standard form. 2.Use the Binomial Theorem to expand.
Unit 2 – Quadratic, Polynomial, and Radical Equations and Inequalities
FACTORING INTEGRATED MATHEMATICS. Students will calculate the GCF of 2 or 3 terms of a polynomial. Students will calculate the GCF of 2 or 3 terms of.
Factoring trinomials ax² + bx +c a = any number besides 1 and 0.
Factoring – Day 4 Factoring Trinomials Objective: To factor trinomials whose quadratic coefficient is 1.
Factoring Polynomials
Difference of Two Perfect Squares
Section 5-5: Factoring Using Special Patterns Goal: Factor Using Special Patterns.
5-4 Factoring Quadratic Expressions Big Idea: -Factor polynomials representing the difference of squares, perfect square trinomials, and the sum and difference.
Warm – Up #1 What do you find in common with the following algebraic expression? 2
Factor and Solve Polynomial Equations Homework Questions?
Warmups – factor. 1) Write the prime factorization: 224 2) x 2 +19x ) 49y y ) 5xy + 15x + 4y + 12.
Factoring Trinomials Chapter 10.4 Part 2. Review: Factoring Quadratic Trinomials Find the factors of the last term. Which of those factors combine to.
Notes Over 10.7 Factoring Special Products Difference of Two Squares.
Warm-Up: Factor by GCF 1. 16x 2 – 8x 2. 10x – 10y.
Warm-Up 1. Find the -Vertex -Y-Intercept -X-intercepts 2. Graph 3. Factor.
Warmup 1.) 16x2 – 81 2.) 3x ) 9x7 + 15x3 -18 x5 4.) 2x2 + 5x - 12.
Notes Over 10.8 Methods of Factoring Binomial Trinomial
Multi- Step Factoring Unit 6 Supplement.
Review: Factoring Trinomials
Multiply (x+3)(2x-7) Factor 3. 42x – 7
Section 6.4: Factoring Polynomials
Objectives Factor perfect-square trinomials.
What numbers are Perfect Squares?
Multiply (x+3)(2x-7) Factor 3. 42x – 7
Factor each trinomial x2 + 40x + 25 (4x + 5)(4x + 5)
Special Cases in Factoring Polynomials
Answers to Homework 8) (x + 6)(2x + 1) 10) (2n – 3)(2n – 1) 12) (2r – 5)(3r – 4) 14) (5z – 1)(z + 4) 16) (2t – 1)(3t + 5) 18) (4w + 3)(w – 2) 20) (2x +
Multiply (x + 3) (x + 6) (x + 2) (x + 9) (x + 1) (x + 18)
Algebra 1 Review Factoring/Exponents
Warmups – factor. 1) 2xy3 – 6x2y 2) x2 – 12x ) 4y2 + 36y + 81
Unit 5 Factor Special Products
Unit 2A Test - Quadratics
Answers to Unit 1, Lesson 1 Exercises
Factoring Special Products
Factoring Trinomials.
Multiplying Fractions
Factoring Trinomials and Difference of Two Perfect Squares
Unit 1 Section 3C: FACTORING POLYNOMIALS
2.3 Factor and Solve Polynomial Expressions Review (cont.)
(5x – 2)(x + 3) = 0 5x – 2 = 0 x + 3 = 0 x = -3 x = 2/5
How do I solve quadratic equations by factoring?
Exponent Rules, Multiplying Polynomials, and GCF Factoring
Factoring Polynomials First: Look for a GCF 4 Second: Number of Terms 2 3 Cubes Squares Perfect Square Trinomial Grouping X 2 – 9 X 3 – 27 = (x - 3)
Factoring Quadratic Expressions
Algebra 1 Review Factoring/Exponents
Presentation transcript:

Warmup 1.) 16x2 – 81 2.) 3x2 - 147 3.) 9x7 + 15x3 -18 x5 4.) 2x2 + 5x - 12

Factoring by Grouping Chapter 12 supplement

Grouping When there are 4 terms, you factor by grouping Steps 1.) Group the first 2 terms and the last 2 terms 2.) Find the GCF of both sets of parenthesis 3.) Rewrite the factors in new parenthesis

Factor Tree GCF 2 4 3 Difference of Grouping Perfect Squares Trinomials

Examples 1.) 3x + 3 + x2 + x 2.) x3 + 4x2 + 6x + 24

Examples (cont.) 3.) x2 + 2x + 3x + 6 4.) x3 - 2x2 – 9x + 18

Class work

Homework