Warm-up: Factor: 6(x – 4)2 + 13(x – 4) – 5

Slides:



Advertisements
Similar presentations
March 19 th copyright2009merrydavidson WELCOME BACK!!! WE CAN DO THIS.
Advertisements

Perfect Square Trinomials. Form for Perfect Square Trinomials: a 2 + 2ab + b 2 OR a 2 – 2ab + b 2.
+ Completing the Square. + In your notes: Simplify the following: (5 – 3i)(4 + 2i) 3.
Warm Up. Essential Question: How do you factor a polynomial without a middle term?
TODAY IN ALGEBRA…  Warm up: Find products of special polynomials  Learning Target: 9.5 You will factor trinomials  Independent Practice  HW #4 Due.
Special Factoring Formulas
Quadratics – Completing the Square A Perfect Square Trinomial is any trinomial that is the result of squaring a binomial. Example 1: Binomial Squared Perfect.
EXPONENTS AND POLYNOMIALS College Algebra. Integral Exponents and Scientific Notation Positive and negative exponents Product rule for exponents Zero.
Factoring Polynomials
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.
11.1 – The Greatest Common Factor (GCF)
Warm Up 1.) What is the simplified form of –x2(2x3 + 5x2 + 6x)?
Perfect Square Trinomials and Difference of Perfect Squares
Factoring Polynomials
Copyright © 2010 Pearson Education, Inc. All rights reserved Sec
Section 6.5 Factoring by Grouping and a General Strategy for Factoring Polynomials.
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)
4.4 Factoring Quadratic Expressions P Factoring : Writing an expression as a product of its factors. Greatest common factor (GCF): Common factor.
Algebra 10.3 Special Products of Polynomials. Multiply. We can find a shortcut. (x + y) (x – y) x² - xy + - y2y2 = x² - y 2 Shortcut: Square the first.
Factoring General Trinomials Factoring Trinomials Factors of 9 are: REVIEW: 1, 93, 3.
2.3 Factor and Solve Polynomial Expressions Pg. 76.
§ 5.6 A General Factoring Strategy. Blitzer, Intermediate Algebra, 4e – Slide #81 A Strategy for Factoring Polynomials A Strategy for Factoring a Polynomial.
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.
Strategies for Factoring
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.
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.
Warm Up:. Factoring Polynomials Number of TermsFactoring TechniqueGeneral Pattern Any number of terms Greatest Common Factora 3 b 2 + 2ab 2 = ab 2 (a.
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.
Factoring Quadratics Using the “X” method. Warm - up 1. (x - 7) 2 = x x (2k + 3) 2 = 4k k ( t - 6 )( t + 6 ) = t
Table of Contents Quadratics – Completing the Square A Perfect Square Trinomial is any trinomial that is the result of squaring a binomial. Example 1:
Difference of Squares Recall that, when multiplying conjugate binomials, the product is a difference of squares. E.g., (x - 7)(x + 7) = x Therefore,
Drill #51 Factor each polynomial using the GCF:. Drill #52 Factor each polynomial :
Mixed Factoring. Steps to mixed factoring To factor a polynomial completely, you may need to use more than one factoring method. Use the steps on the.
Notes Over 10.8 Methods of Factoring Binomial Trinomial
Multi- Step Factoring Unit 6 Supplement.
Review: Factoring Trinomials
Section 6.4: Factoring Polynomials
Objectives Factor perfect-square trinomials.
4.5 & 4.6 Factoring Polynomials & Solving by Factoring
Chapter 7 Factoring. Chapter 7 Factoring A General Approach to Factoring 7.4 A General Approach to Factoring.
7.3 Products and Factors of Polynomials
Write each expression as a trinomial.
Factoring Polynomials
Factor each trinomial x2 + 40x + 25 (4x + 5)(4x + 5)
Creating Perfect Square Trinomial
A Number as a Product of Prime Numbers
Write in standard form. Identify the leading coefficient.
Chapter 7 Factoring. Chapter 7 Factoring A General Approach to Factoring 7.4 A General Approach to Factoring.
Multiply (x + 3) (x + 6) (x + 2) (x + 9) (x + 1) (x + 18)
Special Factoring Formulas & a General Review of Factoring
Factoring Review.
Factor a difference of squares.
Warm-up: Write in scientific notation: ,490,000
3.4 Solving Simple Quadratic Equations, Completing the Square, and Solving Equations using Completing the Square.
Factoring and Completing the Square Review
Warm Up: Solve the Equation 4x2 + 8x – 32 = 0.
Factoring Special Products
Factoring Trinomials and Difference of Two Perfect Squares
Warm Up Factor the following: a) b).
2.3 Factor and Solve Polynomial Expressions Review (cont.)
How do I solve quadratic equations by factoring?
Sum/Diff Cubes and PST Brett Solberg AHS ‘11-’12.
Get Started!! x  , y  ______.
Review: 6.4c Mini-Quiz 1. Determine whether is a perfect square trinomial. If so, factor it. 2. Determine whether is a perfect square trinomial. If.
Warm-up: Simplify. Put in standard form.
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 Polynomials
Presentation transcript:

Warm-up: Factor: 6(x – 4)2 + 13(x – 4) – 5 HW: Finish Classwork: Factoring Study for factoring quiz next class!

HW: pg.38 (72, 74, 78, 86, 88, 90, 92, 93  96all) pg.39 (98- 114 even) 72) (7 + 3y)(7 – 3y) 110) (5 – x)(1 + x2) 74) –z(z + 10) 112) (u + 2)(3 – u2) 78) (3x – 2)2 114) (t + 6)(t – 8) 86) (2x + 1)(x – 1) 88) (-5u + 2)(u + 3) 90) (x – 3)(x2 + 3x + 9) 92) (z + 5)(z2 – 5z + 25) 94) (x + 5)(x2 – 5) 96) (x – 2)(5x2 + 3) 98) 12(x + 2)(x – 2) 100) 6(x – 3)(x + 3) 102) (8 – x)(2 + x) 104) (-3x + 1)(3x – 1) 106) y(2y + 3)(y – 5) 108) (5x + 3)(x + 2)

Objective: Practice Factoring GCF Difference of Two Squares Perfect Square Trinomials Difference and Sum of Cubes Trinomials with Binomial Factors Trinomials: Leading Coefficient is not 1

Study for factoring quiz next class! Summary: Factoring Difference of Two Squares Perfect Square Trinomials Difference and Sum of Cubes Trinomials with Binomial Factors Trinomials: Leading Coefficient is not 1 Sneedlegrit: Factor a2 (x – 2) + b2(2 – x) HW: Finish Classwork: Factoring Study for factoring quiz next class!