Copyright © 2014, 2010, and 2006 Pearson Education, Inc. Chapter 4 Polynomials.

Slides:



Advertisements
Similar presentations
Objectives 1.3 To understand and apply the distributive property To remove parentheses by multiplying To insert parentheses by factoring expressions To.
Advertisements

Copyright © 2013, 2009, 2006 Pearson Education, Inc. 1 Section 6.1 The Greatest Common Factor and Factoring by Grouping Copyright © 2013, 2009, 2006 Pearson.
Copyright © 2008 Pearson Education, Inc. Chapter R Algebra Reference Copyright © 2008 Pearson Education, Inc.
Chapter 5 Section 5 Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley.
Copyright © 2013, 2009, 2006 Pearson Education, Inc. 1 Section 5.2 Multiplying Polynomials Copyright © 2013, 2009, 2006 Pearson Education, Inc. 1.
4.5 Multiplying Polynomials
OBJECTIVES 5.1 Introduction to Factoring Slide 1Copyright 2011, 2007, 2003, 1999 Pearson Education, Inc. aFind the greatest common factor, the GCF, of.
CHAPTER 4 Polynomials: Operations Slide 2Copyright 2011, 2007, 2003, 1999 Pearson Education, Inc. 4.1Integers as Exponents 4.2Exponents and Scientific.
Exponents and Polynomials
Copyright © 2007 Pearson Education, Inc. Slide R-1.
Exponents and Polynomials
Copyright © 2013 Pearson Education, Inc. Section 5.2 Addition and Subtraction of Polynomials.
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Chapter 12 Exponents and Polynomials.
Slide 5- 1 Copyright © 2012 Pearson Education, Inc.
Introduction to Polynomials
Exponent Rules and Dividing Polynomials Divide exponential forms with the same base. 2.Divide numbers in scientific notation. 3. Divide monomials.
1 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 5-1 Polynomials and Polynomial Functions Chapter 5.
1 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 5-1 Polynomials and Polynomial Functions Chapter 5.
1.2 - Products Commutative Properties Addition: Multiplication:
Copyright © 2010 Pearson Education, Inc. All rights reserved Sec
Chapter 6 Factoring Copyright © 2015, 2011, 2007 Pearson Education, Inc. 1.
Copyright © 2006 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Common Factors and Factoring by Grouping Terms with Common Factors Factoring.
Copyright © 2010 Pearson Education, Inc. All rights reserved Sec
Chapter 5 Section 5. Copyright © 2012, 2008, 2004 Pearson Education, Inc. Objectives 1 Copyright © 2008 Pearson Education, Inc. Publishing as Pearson.
Chapter 4 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 4-1 Exponents and Polynomials.
Multiplying Polynomials; Special Products Multiply a polynomial by a monomial. 2.Multiply binomials. 3. Multiply polynomials. 4.Determine the product.
13.01 Polynomials and Their Degree. A polynomial is the sum or difference of monomials. x + 3 Examples: Remember, a monomial is a number, a variable,
Chapter 5 Polynomials: An Introduction to Algebra.
1-1 Copyright © 2014, 2010, and 2006 Pearson Education, Inc. Polynomials in Several Variables Evaluating Polynomials Like Terms and Degree Addition and.
Exponent Rules and Multiplying Monomials Multiply monomials. 2.Multiply numbers in scientific notation. 3.Simplify a monomial raised to a power.
Aim: How do we multiply a monomial by a monomial? Do Now: Multiply: 1. 3 · 3 · 3 2. x · x 3. 3x · 2x 4. x³ · x² 5. (4x 2 ) 2.
Copyright © 2010 Pearson Education, Inc. All rights reserved. 5.3 – Slide 1.
Copyright © 2014, 2010, 2006 Pearson Education, Inc. Section 5.3 Slide 1 Exponents and Polynomials 5.
Copyright © 2015, 2011, 2007 Pearson Education, Inc. 1 1 Chapter 7 Rational Expressions and Equations.
Copyright © 2015, 2011, 2007 Pearson Education, Inc. 1 1 Chapter 8 Rational Exponents, Radicals, and Complex Numbers.
Chapter P Prerequisites: Fundamental Concepts of Algebra 1 Copyright © 2014, 2010, 2007 Pearson Education, Inc. 1 P.4 Polynomials.
Copyright © 2014, 2010, and 2006 Pearson Education, Inc. Chapter 4 Polynomials.
Copyright © 2010 Pearson Education, Inc. All rights reserved Sec
Copyright © 2015, 2011, 2007 Pearson Education, Inc. 1 1 Chapter 8 Rational Exponents, Radicals, and Complex Numbers.
Copyright © 2014, 2010, and 2006 Pearson Education, Inc. Chapter 1 Introduction to Algebraic Expressions.
Copyright © 2014, 2010, and 2006 Pearson Education, Inc. Chapter 4 Polynomials.
Copyright © 2010 Pearson Education, Inc. All rights reserved Sec Factoring Trinomials.
Monomials Multiplying Monomials and Raising Monomials to Powers.
Copyright © 2014, 2010, and 2006 Pearson Education, Inc. Chapter 4 Polynomials.
Chapter 5.1 Notes Simplifying Polynomials Multiplying Polynomials Degree of a Polynomial Algebra 2.
Copyright © 2010 Pearson Education, Inc. All rights reserved. 2.2 – Slide 1.
12.01 Multiplying Monomials. A monomial is a number, a variable, or a product of both. Examples: 8, x, 5y, x 3, 4x 2, – 6xy 7 Exponential Notation amam.
7-1 Integer Exponents 7-2 Powers of 10 and Scientific Notation 7-3 Multiplication Properties of Exponents 7-4 Division Properties of Exponents 7-5 Fractional.
CHAPTER 12 Polynomials: Operations Slide 2Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. 12.1Integers as Exponents 12.2Exponents and Scientific.
Chapter 5 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 5-1 Factoring.
HAWKES LEARNING SYSTEMS Students Matter. Success Counts. Copyright © 2013 by Hawkes Learning Systems/Quant Systems, Inc. All rights reserved. Section 11.5.
Monomials Chapter 5.1. Vocabulary Monomial: an expression that is a number, a variable, or the product of a number and one or more variables. – Can not.
POLYNOMIALS – Monomial Times a Polynomial
AIM: How do we multiply and divide polynomials?
Copyright © 2014, 2010, 2007 Pearson Education, Inc.
Aim: What are the product and power rules of exponents?
CHAPTER R: Basic Concepts of Algebra
8.6 Multiplying a Polynomial by a Monomial
Multiplying Polynomials
Exponents, Polynomials, and Polynomial Functions
Copyright © 2014, 2010, 2007 Pearson Education, Inc.
Polynomials Monomials & Operations
Exponents, Polynomials, and Polynomial Functions
Adding Subtracting Multiplying Polynomials
Exponents, Polynomials, and Polynomial Functions
Introduction to Polynomials
6.1 & 6.2 Greatest Common Factor and Factoring by Grouping
Working with monomials and polynomials
6.3 ADDING/SUBTRACTING POLYNOMIALS
2.2 Simplifying Expressions
Presentation transcript:

Copyright © 2014, 2010, and 2006 Pearson Education, Inc. Chapter 4 Polynomials

1-2 Copyright © 2014, 2010, and 2006 Pearson Education, Inc. Multiplication of Polynomials Multiplying Monomials Multiplying a Monomial and a Polynomial Multiplying Any Two Polynomials 4.5

Copyright © 2014, 2010, and 2006 Pearson Education, Inc. To Multiply Monomials To find an equivalent expression for the product of two monomials, multiply the coefficients and then multiply the variables using the product rule for exponents.

1-4 Copyright © 2014, 2010, and 2006 Pearson Education, Inc. Example Multiply: a) (6x)(7x) b) (5a)(  a) c) (  8x 6 )(3x 4 ) Solution

1-5 Copyright © 2014, 2010, and 2006 Pearson Education, Inc. Example Multiply: a) x and x + 7 b) 6x(x 2  4x + 5)

Copyright © 2014, 2010, and 2006 Pearson Education, Inc. The Product of a Monomial and a Polynomial To multiply a monomial and a polynomial, multiply each term of the polynomial by the monomial.

1-7 Copyright © 2014, 2010, and 2006 Pearson Education, Inc. Example Multiply: 5x 2 (x 3  4x 2 + 3x  5) Solution

1-8 Copyright © 2014, 2010, and 2006 Pearson Education, Inc. Example Multiply each of the following. a) x + 3 and x + 5b) 3x  2 and x  1 Solution

Copyright © 2014, 2010, and 2006 Pearson Education, Inc. The Product of Two Polynomials To multiply two polynomials P and Q, select one of the polynomials, say P. Then multiply each term of P by every term of Q and combine like terms.

1-10 Copyright © 2014, 2010, and 2006 Pearson Education, Inc. Example Multiply: (5x 3 + x 2 + 4x)(x 2 + 3x) Solution

1-11 Copyright © 2014, 2010, and 2006 Pearson Education, Inc. Example Multiply: (  3x 2  4)(2x 2  3x + 1) Solution

Feedback: Privacy Policy Feedback
Do Not Sell My Personal Information
About project: SlidePlayer Terms of Service

© 2024 SlidePlayer.com Inc. All rights reserved.