Long and Synthetic Division. Long Division Polynomial long division can be used to divide a polynomial d(x), producing a quotient polynomial q(x) and.

Slides:

Advertisements

Similar presentations

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

Advertisements

5-4 Dividing Polynomials Long Division Today’s Objective: I can divide polynomials.

Dividing Polynomials Section 2.4. Objectives Divide two polynomials using either long division or synthetic division. Use the Factor Theorem to show that.

Warm up!! Pg. 130 #’s 16, 22, 36, 42, 52, 96.

Unit 3 Practice Test Review. 1a) List all possible rational zeros of this polynomial: 5x 4 – 31x x 2 – 31x + 6 p  1, 2, 3, 6 q  1, 5 p  1, 2,

Dividing Polynomials; Remainder and Factor Theorems.

5.5 Apply the Remainder and Factor Theorem

Bell Problem Find the real number solutions of the equation: 18x 3 = 50x.

ACTIVITY 34 Review (Sections ).

2.4 – Real Zeros of Polynomial Functions

Homework Lesson 2.3 Read: Pages Page 127: #1-61 (EOO)

Long Division Algorithm and Synthetic Division!!!

5.4 – Apply the Remainder and Factor Theorems Divide 247 / / 8.

6.5 The Remainder and Factor Theorems p. 352 How do you divide polynomials? What is the remainder theorem? What is the difference between synthetic substitution.

Real Zeros of Polynomial Functions. Quick Review.

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

1 What we will learn today…  How to divide polynomials and relate the result to the remainder and factor theorems  How to use polynomial division.

 PERFORM LONG DIVISION WITH POLYNOMIALS AND DETERMINE WHETHER ONE POLYNOMIAL IS A FACTOR OF ANOTHER.  USE SYNTHETIC DIVISION TO DIVIDE A POLYNOMIAL BY.

The Remainder and Factor Theorems

Complex Numbers, Division of Polynomials & Roots.

The Remainder and Factor Theorems 6.5 p When you divide a Polynomial f(x) by a divisor d(x), you get a quotient polynomial q(x) with a remainder.

2.3 Polynomial Division and Synthetic Division Ex. Long Division What times x equals 6x 3 ? 6x 2 6x x 2 Change the signs and add x x.

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 )

6-7 The Division Algorithm & The Remainder Theorem dividend=quotient. divisor + remainder If a polynomial f(x) is divided by x - c, the remainder is the.

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.

quotient is x + 6 and remainder is quotient is x.

2.4/2.52.4/2.5 Real Zeros of Polynomial Functions.

Section 2-2 Synthetic Division; The Remainder and Factor Theorems.

4.3: Real Zeroes of Polynomials Functions February 13, 2008.

Textbook page 581 #’s 1, 2. Do Now – Example #1 Example 1: Divide 758 by 6 without a calculator using long division Identify: Dividend = ____________.

Section 4-3 The Remainder and Factor Theorems. Remainder Theorem Remainder Theorem – If a polynomial P(x) is divided by x-r, the remainder is a constant,

Dividing Polynomials Section 2.4. Objectives Divide two polynomials using either long division or synthetic division. Use the Factor Theorem to show that.

3.3 Polynomial and Synthetic Division. Long Division: Let’s Recall.

3.6 The Real Zeros of Polynomial Functions Goals: Finding zeros of polynomials Factoring polynomials completely.

LESSON 5.6 Rational Zeros of Polynomial Functions.

5.5 – Dividing Polynomials Divide 247 / / 8.

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

5-4 Dividing Polynomials Synthetic Division

Polynomial Division Objective: To divide polynomials by long division and synthetic division.

Polynomial Synthetic Division

Polynomial Long Division

College Algebra Chapter 3 Polynomial and Rational Functions Section 3.3 Division of Polynomials and the Remainder and Factor Theorems.

Zeros (Solutions) Real Zeros Rational or Irrational Zeros Complex Zeros Complex Number and its Conjugate.

Section 2.3 Polynomial and Synthetic Division

Do Now: Divide Write out as much work as possible. Don’t divide in your head

Dividing Polynomials Two options: Long Division Synthetic Division.

Warm-ups Week 8 10/8/12 Find the zeros of f(x) = x3 + 2x2 – 13x + 10 algebraically (without a graphing calculator). What if I told.

Warm Up Compute the following by using long division.

Dividing Polynomials A review of long division:

Polynomial and Synthetic Division

Section 5.4 – Dividing Polynomials

The Remainder and Factor Theorems

1a. Divide using long division. (9x3 – 48x2 + 13x + 3) ÷ (x – 5)

Apply the Remainder and Factor Theorems

Polynomial Division; The Remainder Theorem and Factor Theorem

Honors Precalculus February 10, 2017 Mrs. Agnew

Honors Precalculus February 21, 2018 Mr. Agnew

Remainder and Factor Theorem

5.5 Apply the Remainder and Factor Theorems

Section 2.3 Polynomial and Synthetic Division

Long Division and Synthetic Division

6.5 The Remainder and Factor Theorems

The Remainder and Factor Theorems

The Remainder and Factor Theorems

Section 2.4: Real Zeros of Polynomial Functions

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

3.1 The Remainder Theorm AND The Factor Theorem.

5.5 Apply the Remainder and Factor Theorems

Presentation transcript:

Long and Synthetic Division

Long Division Polynomial long division can be used to divide a polynomial d(x), producing a quotient polynomial q(x) and a remainder polynomial r(x)

Question 1

Question 2 Divide Using Long Division (x

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16 What are rational and irrational numbers?

Question 17 What type of zeros will not be included in the possible rational numbers list?

Question 18 What are the two important things that the Remainder Theorem says?

Question 19 What does it mean to have multiplicity of zeros?

Question 20 How can you verify zeros of a polynomial using a graphing calculator?