Multi- Step Factoring Unit 6 Supplement.

Slides:



Advertisements
Similar presentations
10.7 Factoring Special Products
Advertisements

Warm Up. Essential Question: How do you factor a polynomial without a middle term?
Factoring GCF’s, differences of squares, perfect squares, and cubes
© 2007 by S - Squared, Inc. All Rights Reserved.
Multiply the following two polynomials: (x + 3)(x+3). x + 3 x2x2.
Notes Over 10.8 BinomialTrinomial4 or more terms Methods of Factoring GCF Difference of Squares Perfect Square Trinomial Two Binomials (Shortcut) Two.
Section 6.5 Factoring by Grouping and a General Strategy for Factoring Polynomials.
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.
Factoring and Solving Polynomial Equations (Day 1)
Purpose: To factor polynomials completely. Homework: P odd.
4.4 Factoring Quadratic Expressions P Factoring : Writing an expression as a product of its factors. Greatest common factor (GCF): Common factor.
Objective: Students will be able to multiply polynomials.
Factoring General Trinomials Factoring Trinomials Factors of 9 are: REVIEW: 1, 93, 3.
Factoring Special Products. Factoring: The reverse of multiplication Use the distributive property to turn the product back into factors. To do this,
Objective - To recognize and factor a perfect square trinomial. Find the area of the square in terms of x. Perfect Square Trinomial.
2.3 Factor and Solve Polynomial Expressions Pg. 76.
Factoring Differences of Squares. Remember, when factoring, we always remove the GCF (Greatest Common Factor) first. Difference of Squares has two terms.
Objectives: Students will be able to…  Write a polynomial in factored form  Apply special factoring patterns 5.2: PART 1- FACTORING.
1/5/2016 Opener 1. (2m 3 – 4m 2 – 11) – (7m 3 – 3m 2 + 2m) 2. (4x + 2) (6x – 8) -5m 3 – m 2 – 2m – 11 24x 2 – 20x – 16.
Aim: How do we factor polynomials completely? Do Now: Factor the following 1. 2x 3 y 2 – 4x 2 y 3 2. x 2 – 5x – 6 3. x 3 – 5x 2 – 6x.
  Different types of Quadratics:  GCF:  Trinomials:  Difference of Squares:  Perfect Square Trinomials: Factoring Quadratics.
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
Strategies for Factoring
EXAMPLE 1 Find a common monomial factor Factor the polynomial completely. a. x 3 + 2x 2 – 15x Factor common monomial. = x(x + 5)(x – 3 ) Factor trinomial.
Factoring Polynomials
Warm – Up #1 What do you find in common with the following algebraic expression? 2
Warm up: Factor & List which process(es) you used.
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.
Objective - To factor trinomials in the form,
Factoring Completely.
Warmup 1.) 16x2 – 81 2.) 3x ) 9x7 + 15x3 -18 x5 4.) 2x2 + 5x - 12.
Notes Over 10.8 Methods of Factoring Binomial Trinomial
Section 6.4: Factoring Polynomials
Example 2 Factor the polynomial. 12n n2 a. – 36 + = ( ) 2 n2 –
4.5 & 4.6 Factoring Polynomials & Solving by Factoring
Factoring Polynomials
Factor each trinomial x2 + 40x + 25 (4x + 5)(4x + 5)
Objective - To factor trinomials in the form,
Special Cases in Factoring Polynomials
Write in standard form. Identify the leading coefficient.
9/15/2018 Factor 10x – 10y 10(x – y).
Factor a difference of squares.
Unit 5 Factor Special Products
12/25/2018 Opener (2m3 – 4m2 – 11) – (7m3 – 3m2 + 2m)
Special Problems (Solve)
Factor & Solve Polynomial Equations
Warm – Up #1 What do you find in common with the following algebraic expression? 2
Factor Special Products
3.4 Solving Simple Quadratic Equations, Completing the Square, and Solving Equations using Completing the Square.
Warm-Up: Write down what remains. c..
Factoring by GCF CA 11.0.
Bellwork~Simplify 1.) 90 2.) 32 3.) 45 4.) 162.
Factoring Special Products
Homework Corrections (Page 1 of 3)
Warm-up: Factor: 6(x – 4)2 + 13(x – 4) – 5
Bell Ringer 1. What are the “special cases” for binomials and how do they factor? 2. What are the “special case” for a trinomial and how does it factor?
Unit 1 Section 3C: FACTORING POLYNOMIALS
Lesson 9.8 Factor Polynomials Completely
2.3 Factor and Solve Polynomial Expressions Review (cont.)
3:20 3:15 3:10 3:25 3:30 3:40 3:35 3:05 3:00 2:35 2:30 2:40 2:45 2:55 2:50 3:45 3:50 4:45 4:40 4:35 4:50 4:55 5:00 timer 5:00 4:30 4:25 4:00 3:55 4:05.
(5x – 2)(x + 3) = 0 5x – 2 = 0 x + 3 = 0 x = -3 x = 2/5
6.6 Factoring Polynomials
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)
Objective - To factor trinomials in the form,
Warmup 1.) 16x2 – 81 2.) 3x ) 9x7 + 15x3 -18 x5 4.) 2x2 + 5x - 12.
Presentation transcript:

Multi- Step Factoring Unit 6 Supplement

Multi-step Factoring Some polynomials are able to be factored multiple times Steps 1.) Find the GCF and factor 2.) Factor using trinomials (3- terms) or factor using difference of perfect squares (2 terms)

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

Examples 1.) 2x2 - 12x + 18 2.) 6x2 - 54

Examples (cont.) 3.) 3x2 - 30x – 75 4.) 24x3 +18x2

Examples (cont.) 5.) 4x2 – 81y2 6.) 20x2 - 45

Classwork Wkst 10.8B # 7-24 Pg 617 # 10-18

Homework Pg 632 # 1-6, 13-19