Chapter 7 Factoring. Chapter 7 Factoring Solving Equations by Factoring 7.5 Solving Equations by Factoring.

Slides:



Advertisements
Similar presentations
CHAPTER 9 Quadratic Equations Slide 2Copyright 2011, 2007, 2003, 1999 Pearson Education, Inc. 9.1Introduction to Quadratic Equations 9.2Solving Quadratic.
Advertisements

Solving Quadratic Equations using Factoring.  has the form: ax 2 + bx + c = 0 If necessary, we will need to rearrange into this form before we solve!
Solving Linear Equations Rule 7 ‑ 1: We can perform any mathematical operation on one side of an equation, provided we perform the same operation on the.
Chapter 2 Section 2. Objectives 1 Copyright © 2012, 2008, 2004 Pearson Education, Inc. The Multiplication Property of Equality Use the multiplication.
Copyright © 2013, 2009, 2006 Pearson Education, Inc. 1 1 Section 2.2 The Multiplication Property of Equality Copyright © 2013, 2009, 2006 Pearson Education,
Chapter 11 Section 2. Objectives 1 Copyright © 2012, 2008, 2004 Pearson Education, Inc. Solving Quadratic Equations by Completing the Square Solve quadratic.
U4L3 Solving Quadratic Equations by Completing the Square.
Unit 1 Expressions, Equations and Inequalities Copyright © 2014, 2010, 2007 Pearson Education, Inc Other Types of Equations.
Mathematics for Business and Economics - I
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Chapter 11 Systems of Equations.
Copyright © 2010 Pearson Education, Inc. All rights reserved. 4.3 – Slide 1.
Chapter 4 Section 3 Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley.
Solving Systems of Linear Equations by Elimination Solve linear systems by elimination. Multiply when using the elimination method. Use an alternative.
Copyright © 2015, 2011, 2007 Pearson Education, Inc. 1 1 Chapter 4 Systems of Linear Equations and Inequalities.
Unit 1 Expressions, Equations and Inequalities Copyright © 2014, 2010, 2007 Pearson Education, Inc Quadratic Equations.
Chapter 3 Polynomial and Rational Functions Copyright © 2014, 2010, 2007 Pearson Education, Inc Zeros of Polynomial Functions.
Copyright © Cengage Learning. All rights reserved. Factoring Polynomials and Solving Equations by Factoring 5.
Copyright © 2014, 2010, 2007 Pearson Education, Inc. 1 1 Chapter 9 Quadratic Equations and Functions.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Quadratic Equations.
1) What does x have to be for 3x = 0? 1) What does x have to be for 3(x -2) = 0 2) What does x have to be for (x–2) (x+3) = 0.
Example: 3x 2 + 9x + 6. Solving Quadratic Equations.
Copyright © 2010 Pearson Education, Inc. All rights reserved. 2.1 – Slide 1.
Factor. 1)x² + 8x )y² – 4y – 21. Zero Product Property If two numbers multiply to zero, then either one or both numbers has to equal zero. If a.
Copyright © 2014, 2010, 2007 Pearson Education, Inc. 1 1 Chapter 9 Quadratic Equations and Functions.
Solving Quadratic Equations Quadratic Equations: Think of other examples?
8-1 Completing the Square
Do Now 1) Factor. 3a2 – 26a + 35.
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. 4.8 Solving Equations Containing Fractions.
Chapter 4 Section 3. Objectives 1 Copyright © 2012, 2008, 2004 Pearson Education, Inc. Solving Systems of Linear Equations by Elimination Solve linear.
Copyright © 2010 Pearson Education, Inc. All rights reserved Sec
Copyright © 2010 Pearson Education, Inc. All rights reserved. 6.7 – Slide 1.
Table of Contents First get all nonzero terms on one side. Quadratic Equation: Solving by factoring Example: Solve 6x 2 – 13x = 8. 6x 2 – 13x – 8 = 0 Second.
Copyright © 2012, 2009, 2005, 2002 Pearson Education, Inc. Section 6.7 Solving Quadratic Equations by Factoring.
2.1 – Linear and Quadratic Equations Linear Equations.
Slide Copyright © 2009 Pearson Education, Inc. 6.9 Continued Solving Quadratic Equations by Using Factoring and by Using the Quadratic Formula.
Copyright © 2010 Pearson Education, Inc. All rights reserved Sec Solving Equations by Factoring.
Copyright © 2010 Pearson Education, Inc. All rights reserved Sec
Chapter P Prerequisites: Fundamental Concepts of Algebra 1 Copyright © 2014, 2010, 2007 Pearson Education, Inc. 1 P.7 Equations.
Chapter 9 Section 3. Objectives 1 Copyright © 2012, 2008, 2004 Pearson Education, Inc. Solving Quadratic Equations by the Quadratic Formula Identify the.
9.1c SKM & PP 1 Quadratic Equations. 9.1c SKM & PP 2 Square Roots: Know Your Squares! Consider this equation: What number(s) could be squared to give.
Copyright © 2010 Pearson Education, Inc. All rights reserved Sec Solving Equations by Factoring.
Copyright © 2010 Pearson Education, Inc. All rights reserved. 2.7 – Slide 1.
Copyright © 2010 Pearson Education, Inc. All rights reserved. 2.2 – Slide 1.
Slide Copyright © 2009 Pearson Education, Inc. 7.2 Solving Systems of Equations by the Substitution and Addition Methods.
Radical Equations and Problem Solving Use the power rule to solve radical equations.
Copyright © 2010 Pearson Education, Inc. All rights reserved Sec
Solving Quadratic Equations. Find the quadratic equation if the solutions are 3 and -2. x = 3 x = -2 Make them equal zero. x – 3 = 0x + 2 = 0 (x – 3)(x.
Copyright © 2016, 2012, 2008 Pearson Education, Inc. 1 Factoring and Applications Chapter 5.
Chapter 5 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 5-1 Factoring.
Copyright © 2014, 2010, 2007 Pearson Education, Inc.
Copyright © 2014, 2010, 2007 Pearson Education, Inc.
Copyright © 2014, 2010, 2007 Pearson Education, Inc.
Copyright © 2014, 2010, 2007 Pearson Education, Inc.
10.4 Solving Factored Polynomial Equations
Copyright 2013, 2010, 2007, 2005, Pearson, Education, Inc.
Solving Quadratic Equations by the Complete the Square Method
Copyright © 2014, 2010, 2007 Pearson Education, Inc.
Quadratic Equations, Inequalities, and Functions
A quadratic equation is written in the Standard Form,
Copyright © Cengage Learning. All rights reserved.
Lial/Hungerford/Holcomb: Mathematics with Applications 11e Finite Mathematics with Applications 11e Copyright ©2015 Pearson Education, Inc. All right.
Solve System by Linear Combination / Addition Method
Solving Equations Containing Rational Expressions
Precalculus Essentials
Solving Quadratic Equations by Factoring
Quadratic Equations, Inequalities, and Functions
Quadratic Equations, Inequalities, and Functions
Nonlinear Functions, Conic Sections, and Nonlinear Systems
Nonlinear Functions, Conic Sections, and Nonlinear Systems
Systems of Linear Equations: Determinants
Presentation transcript:

Chapter 7 Factoring

Solving Equations by Factoring 7.5 Solving Equations by Factoring

7.5 Solving Equations by Factoring Objectives Learn and use the zero-factor property. Solve applied problems that require the zero-factor property. Copyright © 2010 Pearson Education, Inc. All rights reserved.

7.5 Solving Equations by Factoring Learn to use the zero-factor property. The two tools used to solve linear equations, adding the same number to both sides and multiplying both sides by the same nonzero number, are not enough to solve higher-degree equations. However, our number system has the following property which provides another tool necessary to solve higher-degree equations. It is important to note that the Zero-Factor Property only works for a product equal to zero. Copyright © 2010 Pearson Education, Inc. All rights reserved.

7.5 Solving Equations by Factoring Learn to use the zero-factor property. Copyright © 2010 Pearson Education, Inc. All rights reserved.

7.5 Solving Equations by Factoring Learn to use the zero-factor property. Copyright © 2010 Pearson Education, Inc. All rights reserved.

7.5 Solving Equations by Factoring Quadratic Equations and Solving Quadratic Equations Copyright © 2010 Pearson Education, Inc. All rights reserved.

7.5 Solving Equations by Factoring Solving Quadratic Equations by Factoring Copyright © 2010 Pearson Education, Inc. All rights reserved.

7.5 Solving Equations by Factoring Solving Quadratic Equations by Factoring Note there are two solutions. Copyright © 2010 Pearson Education, Inc. All rights reserved.

7.5 Solving Equations by Factoring Solving Quadratic Equations by Factoring Copyright © 2010 Pearson Education, Inc. All rights reserved.

7.5 Solving Equations by Factoring Solving a Quadratic Equation with a Missing Constant Term CAUTION Remember to include 0 as a solution. Copyright © 2010 Pearson Education, Inc. All rights reserved.

7.5 Solving Equations by Factoring Solving an Equation of Degree 3 Factor by grouping The difference of two squares Copyright © 2010 Pearson Education, Inc. All rights reserved.

7.5 Solving Equations by Factoring Using a Quadratic Function in an Application Copyright © 2010 Pearson Education, Inc. All rights reserved.

7.5 Solving Equations by Factoring Using a Quadratic Function in an Application If weather radios are sold for either $5 or $8, the revenue will be $4000. Copyright © 2010 Pearson Education, Inc. All rights reserved.

Feedback: Privacy Policy Feedback
Do Not Sell My Personal Information
About project: SlidePlayer Условия использования

© 2024 SlidePlayer.com. Inc. All rights reserved.