3.2 Division of Polynomials. Remember this? Synthetic Division 1. The divisor must be a binomial. 2. The divisor must be linear (degree = 1) 3. The.

Slides:

Advertisements

Similar presentations

Remainder and Factor Theorems

Advertisements

Remainder and Factor Theorems

Dividing Polynomials Objectives

Chapter 6: Polynomials and Polynomial Functions Section 6

5.3 Division of Polynomials. Dividing a Polynomial by a monomial.  Divide each term of the polynomial by the monomial.

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.

6.3 Dividing Polynomials. Warm Up Without a calculator, divide the following Solution:

7.1 Synthetic Division & the Remainder & Factor Theorems

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

Dividing Polynomials Intro - Chapter 4.1. Using Long Division Example 1: Dividing Polynomials DIVISOR DIVIDEND REMAINDER QUOTIENT.

HW: Pg #13-61 eoo.

Section 7.3 Products and Factors of Polynomials.

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.

Copyright © 2009 Pearson Education, Inc. CHAPTER 4: Polynomial and Rational Functions 4.1 Polynomial Functions and Models 4.2 Graphing Polynomial Functions.

Section 3-3 Dividing Polynomials Objectives: Use Long Division and Synthetic Division to divide polynomials.

5-3 Dividing Polynomials Objectives Students will be able to: 1) Divide polynomials using long division 2) Divide polynomials using synthetic division.

Bell Work Week #16 (12/4/13) Divide using long division. You’ve got 3 minutes ÷ ÷ 12.

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

Algebraic long division Divide 2x³ + 3x² - x + 1 by x + 2 x + 2 is the divisor The quotient will be here. 2x³ + 3x² - x + 1 is the dividend.

Objective Use long division and synthetic division to divide polynomials.

1 Warm-up Determine if the following are polynomial functions in one variable. If yes, find the LC and degree Given the following polynomial function,

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

4-3 The Remainder and Factor Theorems

Copyright © 2012 Pearson Education, Inc. Publishing as Addison Wesley 4.3 Polynomial Division; The Remainder and Factor Theorems  Perform long division.

ACTIVITY 31: Dividing Polynomials (Section 4.2, pp )

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

1. 2 Polynomial Function A polynomial function is a function of the form where n is a nonnegative integer and each a i (i = 0,1,…, n) is a real number.

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

7.3 Products and Factors of Polynomials Objectives: Multiply polynomials, and divide one polynomial by another by using long division and synthetic division.

Synthetic Division and Zeros. Synthetic division Only applies when the divisor is x-c and when every descending power of x has a place in the dividend.

6.3 Dividing Polynomials (Day 1)

5.3 Dividing Polynomials Objectives: 1.Divide polynomials using long division 2.Divide polynomials using synthetic division.

a. b.  To simplify this process, we can use a process called division.  Synthetic division works when dividing a polynomial by.  To get started, make.

quotient () () () ()

Polynomial and Synthetic Division Objective: To solve polynomial equations by long division and synthetic division.

Section 4.3 Polynomial Division; The Remainder and Factor Theorems Copyright ©2013, 2009, 2006, 2001 Pearson Education, Inc.

Sect. 2-2 Synthetic Division; The remainder and Factor theorems Objective: SWBAT use the synthetic division and to apply the remainder and factor theorems.

Homework Log Mon 12/14 Lesson 5 – 1 Learning Objective: To divide polynomials using long division & synthetic division Hw: #501 Pg – 33 odd, skip.

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.

Dividing Polynomials/Long and Synthetic Division Section 6.3.

Holt Algebra Dividing Polynomials Synthetic division is a shorthand method of dividing a polynomial by a linear binomial by using only the coefficients.

Polynomial Long Division

Objective Use long division and synthetic division to divide polynomials.

Warm Up Divide using long division ÷ ÷

Dividing Polynomials A review of long division:

5 Solving Polynomial Equations.

Section 5.4 – Dividing Polynomials

Synthetic Division.

Dividing Polynomials: Synthetic Division

7.4 The Remainder and Factor Theorems

Dividing Polynomials Long Division A little review:

6.3 Dividing Polynomials.

Section 6.3 Dividing Polynomials

DIVIDING POLYNOMIALS Synthetically!

Dividing Polynomials.

Polynomial Division; The Remainder Theorem and Factor Theorem

Objective Use long division and synthetic division to divide polynomials.

Complete Reading Strategies Worksheet

Polynomial Long Division

Division of Polynomials and the Remainder and Factor Theorems

Synthetic Division.

Dividing Polynomials.

Synthetic Division.

21 = P(x) = Q(x) . (x - r) + P(r) 4.3 The Remainder Theorem

2.5 Apply the Remainder and Factor Theorem

Divide using long division

Synthetic Division Notes

Presentation transcript:

3.2 Division of Polynomials

Remember this?

Synthetic Division 1. The divisor must be a binomial. 2. The divisor must be linear (degree = 1) 3. The leading coefficient must be 1.

1.Determine the value of r 2.Arrange polynomial in descending order of degree 3.Place “0”in the position of any missing terms 4.Write the coefficients in order including the 0’s 5.Use multiplication and addition to manipulate the coefficients of the quotient 6.Write the quotient using the coefficients and the variables; beginning with a degree less than the dividend Synthetic Division Steps

EX 3

Remainder Theorem If P(x) is divided by x – c, then the remainder is the value P(c). Divide and then check your answer using the remainder theorem.

Factor Theorem: If ‘c’ is a zero then x-c is a factor of P(x). Let P(x) = x x x Show that P(1) = 0 and then use this to factor P(x) completely. Factors:

Given that the zeros of a polynomial are 1, 3, and 4, write the third degree polynomial.

Homework Pg 271 #13-65 EVERY OTHER ODD