Remainder Theorem Section 5.5 Part 1.

Slides:



Advertisements
Similar presentations
Remainder and Factor Theorems
Advertisements

Remainder and Factor Theorems
Dividing Polynomials Section 2.4. Objectives Divide two polynomials using either long division or synthetic division. Use the Factor Theorem to show that.
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.
5.5 Apply the Remainder and Factor Theorem
Bell Problem Find the real number solutions of the equation: 18x 3 = 50x.
6.8 Synthetic Division. Polynomial Division, Factors, and Remainders In this section, we will look at two methods to divide polynomials: long division.
HAWKES LEARNING SYSTEMS Students Matter. Success Counts. Copyright © 2013 by Hawkes Learning Systems/Quant Systems, Inc. All rights reserved. Section A.2.
5.4 – Apply the Remainder and Factor Theorems Divide 247 / / 8.
Polynomial Division and the Remainder Theorem Section 9.4.
Ch 11.5 Dividing Polynomials
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.
5. Divide 4723 by 5. Long Division: Steps in Dividing Whole Numbers Example: 4716  5 STEPS 1. The dividend is The divisor is 5. Write.
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,
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.
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.
6-5: The Remainder and Factor Theorems Objective: Divide polynomials and relate the results to the remainder theorem.
Section 5.3(d) Synthetic Substitution. Long division Synthetic Division can be used to find the value of a function. This process is called Synthetic.
Section 2-2 Synthetic Division; The Remainder and Factor Theorems.
UNIT 2, LESSON 4 THEOREMS ABOUT ZEROS. GETTING STARTED Find the quotient and remainder when is divided by x-3.
Factor Theorem Using Long Division, Synthetic Division, & Factoring to Solve Polynomials.
4.3 The Remainder and Factor Theorems Objective: Find the factors of polynomials using the Remainder and Factor Theorems.
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,
Warm Up no 0, 3 x = -3. Homework Questions Section 2.2 Synthetic Division; The Remainder and Factor Theorems Objective: To use synthetic division and.
6.3 Dividing Polynomials (Day 1)
Dividing Polynomials Section 2.4. Objectives Divide two polynomials using either long division or synthetic division. Use the Factor Theorem to show that.
Help the Poor Math Student  Vocabulary Dividend: number being divided Divisor: number you are dividing by Quotient: is number you get when you divide.
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.
9.4 Polynomial Division, Factors, and Remainders ©2001 by R. Villar All Rights Reserved.
Sullivan Algebra and Trigonometry: Section R.6 Polynomial Division Objectives of this Section Divide Polynomials Using Long Division Divide Polynomials.
Section 4.3 Polynomial Division; The Remainder and Factor Theorems Copyright ©2013, 2009, 2006, 2001 Pearson Education, Inc.
Dividing Polynomials/Long and Synthetic Division Section 6.3.
Products and Factors of Polynomials (part 2 of 2) Section 440 beginning on page 442.
Polynomial & Synthetic Division Algebra III, Sec. 2.3 Objective Use long division and synthetic division to divide polynomials by other polynomials.
Objective Use long division and synthetic division to divide polynomials.
Warm Up Divide using long division ÷ ÷
Dividing Polynomials Section 4.3.
Divide x3 + x2 – 10x + 8 by x+4 using long division.
Unit 6: Polynomial Expressions and Equations Lesson 6
Section 5.4 – Dividing Polynomials
Do Now  .
Division of a Polynomial
Remainder and Factor Theorems
The Remainder and Factor Theorems
Dividing Polynomials Long Division A little review:
1a. Divide using long division. (9x3 – 48x2 + 13x + 3) ÷ (x – 5)
Dividing Polynomials Algebra
Section 6.3 Dividing Polynomials
Apply the Remainder and Factor Theorems
Objective Use long division and synthetic division to divide polynomials.
Polynomial Long Division
Section 3 – The Remainder and Factor Theorems
5 Section 5 Dividing Polynomials.
Exponents and Polynomials
Polynomial and Synthetic Division
Remainder and Factor Theorem
5.5 Apply the Remainder and Factor Theorems
Polynomial Long Division
Long 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
4-3: Remainder and Factor Theorems
21 = P(x) = Q(x) . (x - r) + P(r) 4.3 The Remainder Theorem
Algebra 1 Section 9.6.
Warm Up.
Warm Up.
Dividing Polynomials (SYNTHETIC Division)
Presentation transcript:

Remainder Theorem Section 5.5 Part 1

One method used to divide polynomials similar to the way you divide numbers. A method used to divide any polynomial by divisor of the form x – k.

 Quotient - ( )  Remainder

Checkpoint:

Remainder Theorem Section 5.5 Part 2

 Remainder

 Remainder Note: When your remainder is 0, You may need to factor more.

 Remainder Note: When your remainder is 0, you may need to factor more.

 Remainder Note: When your remainder is 0, you may need to factor more.

Class Practice