Warm Up. Essential Question: How do you factor a polynomial without a middle term?

Slides:



Advertisements
Similar presentations
Table of Contents Factoring - Perfect Square Trinomial A Perfect Square Trinomial is any trinomial that is the result of squaring a binomial. Binomial.
Advertisements

Math Notebook. Review  Find the product of (m+2) (m-2)  Find the product of (2y-3)^2.
Warm Up Write each expression as a trinomial. Factor each expression.
Factoring Polynomials
Notes Over 10.8 BinomialTrinomial4 or more terms Methods of Factoring GCF Difference of Squares Perfect Square Trinomial Two Binomials (Shortcut) Two.
Factoring Rules. Binomial Look for the greatest common factor Look for a difference of squares. –This means that the two terms of the binomial are perfect.
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
Multiplying Polynomials *You must know how to multiply before you can factor!”
Quadratic Relations Polynomials Day 7: Trinomial Factoring Thursday, November 26, 20151Day 7 - Trinomial Factoring.
Day Problems Simplify each product. 1. 8m(m + 6) 2. -2x(6x3 – x2 + 5x)
Factoring General Trinomials Factoring Trinomials Factors of 9 are: REVIEW: 1, 93, 3.
Copyright © 2010 Pearson Education, Inc. All rights reserved. 6.5 – Slide 1.
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.
 1. Square the first term.  2. Double the product of the two terms.  3. Square the last term.  Ex:  (2x – 1) 2  4x 2 - 4x + 1 Perfect square trinomial.
1 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 5-1 Polynomials and Polynomial Functions Chapter 5.
8-1 Completing the Square
Factor the following special cases
Factoring - Perfect Square Trinomial A Perfect Square Trinomial is any trinomial that is the result of squaring a binomial. Binomial Squared Perfect Square.
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.
Special Factoring Patterns Students will be able to recognize and use special factoring patterns.
Warm up: Factor & List which process(es) you used.
Factor and Solve Polynomial Equations Homework Questions?
Essential Question: How is the process of completing the square used to solve quadratic equations? Students will write a summary of how they use completing.
Greatest Common Factor To factor a polynomial whose terms have a common factor: Find the greatest common factor. Divide by the common factor. The common.
Algebra 1 Warm up #3 Solve by factoring:.
Notes Over 10.8 Methods of Factoring Binomial Trinomial
Factoring the Sum and Difference of Cubes
Multi- Step Factoring Unit 6 Supplement.
Section 6.4: Factoring Polynomials
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?
Example: Factor the polynomial 21x2 – 41x No GCF Puzzle pieces for 21x2 x, 21x 3x, 7x Puzzle pieces for 10 1, 10 2, 5 We know the signs.
Warm Up Solve by Factoring: Solve by Using Square Roots:
Warm Up Subtract: Add:.
Warm Up Multiply using the F.O.I.L. or Box Method.
Factoring the Difference of Two Squares
Factoring Polynomials
Special Cases in Factoring Polynomials
Chapter 6 Section 3.
Lesson 9.5 Factor
Warm-up 1. After factoring each expression on your warm-up
Multiply (x + 3) (x + 6) (x + 2) (x + 9) (x + 1) (x + 18)
Lesson 9.7 Factor Special Products
= x2 + 10x + 21 = x2 – 121 = 5(2x + 5) = 7x(4x + 5) = (x2 + 4) (x + 2)
Lesson 9.6 Factor
Lesson 9.6 Factor
Special Products of Binomials
Polynomials and Polynomial Functions
Chapter 6 Section 3.
6.7 Factoring a General Strategy
Factoring Special Cases
Warm Up Factor the following: a) b).
Sign Rule: When the last term is NEGATIVE…
Objectives Factor perfect-square trinomials.
Use synthetic substitution to evaluate
Warm-up: Factor: 6(x – 4)2 + 13(x – 4) – 5
Factoring Special Products
2.3 Factor and Solve Polynomial Expressions Review (cont.)
Factor Polynomials Completely
How do I solve quadratic equations by factoring?
Factoring Take a trinomial and break it into two binomials.
Chapter 6 Section 3.
Review: 6.4a Mini-Quiz 1. Factor Factor x2 4. Factor 16
Complete the Square.
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 Trinomials.
WARM UP.
Factoring Polynomials
Presentation transcript:

Warm Up

Essential Question: How do you factor a polynomial without a middle term?

When factoring a perfect square trinomial, both of your binomials should end up the same. Factor a perfect square like any other trinomial. Perfect Square Trinomial

Examples

When factoring a difference of squares, there is no middle term. Use “0” as the middle term. The binomials will have the same numbers, but opposite signs. Difference of Squares

Examples

Essential Question: How do you factor a polynomial without a middle term? Summary

Workbook pg 137 #1-9 all Homework