Products and Factors of Polynomials (part 2 of 2) Section 440 beginning on page 442.

Slides:

Advertisements

Similar presentations

Dividing Polynomials.

Advertisements

Remainder and Factor Theorems

Long and Synthetic Division of Polynomials Section 2-3.

Chapter 2 Polynomial and Rational Functions Copyright © 2014, 2010, 2007 Pearson Education, Inc Dividing Polynomials: Remainder and Factor Theorems.

Warm-Up: January 5, 2012  Use long division (no calculators) to divide.

3.4 Division of Polynomials BobsMathClass.Com Copyright © 2010 All Rights Reserved. 1 Procedure: To divide a polynomial (in the numerator) by a monomial.

Example 1 divisor dividend quotient remainder Remainder Theorem: The remainder is the value of the function evaluated for a given value.

Slide Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley.

Section 5.4 Dividing Polynomials. Review of Long Division What terms do we use to describe 672 and 21? Because the reminder is zero, we know that 21 is.

Dividing Polynomials; Remainder and Factor Theorems.

Warm up. Lesson 4-3 The Remainder and Factor Theorems Objective: To use the remainder theorem in dividing polynomials.

Algebra 2 Chapter 6 Notes Polynomials and Polynomial Functions Algebra 2 Chapter 6 Notes Polynomials and Polynomial Functions.

Synthetic Division. This method is used to divide polynomials, one of which is a binomial of degree one.

Dividing Polynomials  Depends on the situation.  Situation I: Polynomial Monomial  Solution is to divide each term in the numerator by the monomial.

Section 7.3 Products and Factors of Polynomials.

Dividing Polynomials 3

3.3: Dividing Polynomials: Remainder and Factor Theorems Long Division of Polynomials 1.Arrange the terms of both the dividend and the divisor in descending.

6.8 Synthetic Division. Polynomial Division, Factors, and Remainders In this section, we will look at two methods to divide polynomials: long division.

Section P6 Rational Expressions

Lesson 2.4, page 301 Dividing Polynomials Objective: To divide polynomials using long and synthetic division, and to use the remainder and factor theorems.

Division and Factors When we divide one polynomial by another, we obtain a quotient and a remainder. If the remainder is 0, then the divisor is a factor.

Polynomial Division, Factors, and Remainders ©2001 by R. Villar All Rights Reserved.

1 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 5-1 Polynomials and Polynomial Functions Chapter 5.

Ch 11.5 Dividing Polynomials

Warm up  Divide using polynomial long division:  n 2 – 9n – 22 n+2.

UNIT 2 – QUADRATIC, POLYNOMIAL, AND RADICAL EQUATIONS AND INEQUALITIES Chapter 6 – Polynomial Functions 6.3 – Dividing Polynomials.

Multiply polynomials vertically and horizontally

Warm-up: 9/9 Factor the following polynomials a.) b.) c.)

7.4 The Remainder and Factor Theorems Use Synthetic Substitution to find Remainders.

4-3 The Remainder and Factor Theorems

5.5: Apply Remainder and Factor Theorems (Dividing Polynomials) Learning Target: Learn to complete polynomial division using polynomial long division and.

Chapter 1 Polynomial and Rational Functions Copyright © 2014, 2010, 2007 Pearson Education, Inc Dividing Polynomials; Remainder and Factor Theorems.

6-5: The Remainder and Factor Theorems Objective: Divide polynomials and relate the results to the remainder theorem.

Dividing Polynomials Day #2 Advanced Math Topics Mrs. Mongold.

The Remainder Theorem A-APR 2 Explain how to solve a polynomial by factoring.

Module 4.4 Proper and Improper Rational Functions.

9.4 Polynomial Division, Factors, and Remainders ©2001 by R. Villar All Rights Reserved.

Section 5.5. Dividing a Polynomial by a Polynomial The objective is to be able to divide a polynomial by a polynomial by using long division. Dividend.

Table of Contents Polynomials: Synthetic Division If a polynomial is divided by a linear factor of the form x – c, then a process know as synthetic division.

Sullivan Algebra and Trigonometry: Section R.6 Polynomial Division Objectives of this Section Divide Polynomials Using Long Division Divide Polynomials.

5-4 Dividing Polynomials Synthetic Division

Let’s look at how to do this using the example: In order to use synthetic division these two things must happen: There must be a coefficient for every.

Key Vocabulary: Dividend Divisor Quotient Remainder.

Dividing Polynomials: Synthetic Division. Essential Question  How do I use synthetic division to determine if something is a factor of a polynomial?

Polynomial Division.

Dividing Polynomials.

Section 5.4 – Dividing Polynomials

Assignment 15: 11.5 WB Pg. 153 #2 – 20 even

Warm-up 6-5 1) 2).

Synthetic Division.

Division of a Polynomial

Dividing Polynomials: Synthetic Division

7.4 The Remainder and Factor Theorems

Long & Synthetic Division

Dividing Polynomials Long Division A little review:

Dividing Polynomials Algebra

5-3 Dividing Polynomials

Section 2.4 Dividing Polynomials; Remainder and Factor Theorems

Polynomial and Synthetic Division

Remainder and Factor Theorem

Dividing Polynomials.

Copyright © 2014, 2010, 2007 Pearson Education, Inc.

Warm Up 1. Simplify, then write in standard form (x4 – 5x5 + 3x3) – (-5x5 + 3x3) 2. Multiply then write in standard form (x + 4) (x3 – 2x – 10)

Synthetic Division.

Copyright © 2014, 2010, 2007 Pearson Education, Inc.

Synthetic Division.

Algebra 1 Section 9.6.

Presentation transcript:

Products and Factors of Polynomials (part 2 of 2) Section 440 beginning on page 442

Dividing Polynomials If we have a polynomial expression set equal to the factored version of the expression, we can also write that equation as two ore more division equations.

Dividing Polynomials: Long Division Divisor Quotient Dividend Divide the first term of the dividend by the first term of the divisor. Multiply that value by the divisor. And then subtract. Repeat those steps using the difference as the new dividend. Remainder

Dividing Polynomials: Long Division When there is a non zero remainder, you add an additional term where the numerator is the remainder, and the denominator is the divisor.

Dividing Polynomials: Synthetic Division For synthetic division you do not write the variables. Continued on next slide….

Dividing Polynomials: Synthetic Division Step 2: Multiply the r value (2) by the number below the line, and write the product below the next coefficient. Step 3: Write the sum of that column (3 and 2) below the line. Multiply the r value (2) by the number below the line, and write the product below the next coefficient. Step 4: Write the sum of that column (-4 and 10) below the line. Multiply the r value (2) by the number below the line, and write the product below the next coefficient.

Synthetic Division Practice

The Remainder Theorem