Division of Polynomials Digital Lesson. Copyright © by Houghton Mifflin Company, Inc. All rights reserved. 2 Dividing Polynomials Long division of polynomials.

Slides:



Advertisements
Similar presentations
Remainder and Factor Theorems
Advertisements

Lesson 5-4 Example Find 19 ÷ 3. Show the remainder. Step 1Rewrite the problem in vertical format.
Long and Synthetic Division of Polynomials Section 2-3.
3.4 Division of Polynomials BobsMathClass.Com Copyright © 2010 All Rights Reserved. 1 Procedure: To divide a polynomial (in the numerator) by a monomial.
4-8 Example 2 Divide. Multiply to make the divisor a whole number.
Copyright©2000 by Houghton Mifflin Company. All rights reserved. 1 QUESTION.
Digital Lesson Polynomial Functions.
Addition Subtraction Multiplication Division
Numerical Expressions
Polynomial Functions Digital Lesson. Copyright © by Houghton Mifflin Company, Inc. All rights reserved. 2 Polynomial Function A polynomial function is.
division algorithm Before we study divisibility, we must remember the division algorithm. r dividend = (divisor ⋅ quotient) + remainder.
Operations on Rational Expressions Digital Lesson.
EXAMPLE 1 Use polynomial long division
Warm Up #1 1. Use synthetic substitution to evaluate f (x) = x3 + x2 – 3x – 10 when x = – ANSWER –4.
Section 5Chapter 5. 1 Copyright © 2012, 2008, 2004 Pearson Education, Inc. Objectives 2 3 Dividing Polynomials Divide a polynomial by a monomial. Divide.
HW: Pg #13-61 eoo.
Lesson 5-6 Example Find 312 ÷ 8. Use short division. Step 1Look at the first digit in the dividend. Since the divisor is greater than the first digit,
Lesson 5-4 Example Example 2 Find 14 ÷ 4. Show the remainder. 1.Rewrite the problem in vertical format.
6.8 Synthetic Division. Polynomial Division, Factors, and Remainders In this section, we will look at two methods to divide polynomials: long division.
2.3 Real Zeros of Polynomial Functions 2015 Digital Lesson.
10-6 Dividing Polynomials Warm Up Warm Up Lesson Presentation Lesson Presentation California Standards California StandardsPreview.
Polynomial Division, Factors, and Remainders ©2001 by R. Villar All Rights Reserved.
9.4 Polynomial Division ©2006 by R. Villar All Rights Reserved.
Copyright © Cengage Learning. All rights reserved. Polynomials 4.
Ch 11.5 Dividing Polynomials
EXAMPLE 1 Find a common monomial factor Factor the polynomial completely. a. x 3 + 2x 2 – 15x Factor common monomial. = x(x + 5)(x – 3 ) Factor trinomial.
3.2 Dividing Polynomials 11/28/2012. Review: Quotient of Powers Ex. In general:
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.
Dividing Polynomials Unit 6-5. Divide a polynomial by a monomial. Unit Objectives: Objective 1 Divide a polynomial by a polynomial of two or more terms.
Dividing Polynomials.
Aim: How do we divide polynomials? Divide each term of the polynomial by the monomial. Factor each expression. Divide out the common factors in each.
12-6 Dividing Polynomials Warm Up Lesson Presentation Lesson Quiz
Division of Polynomials Digital Lesson. Copyright © by Houghton Mifflin Company, Inc. All rights reserved. 2 Dividing Polynomials Long division of polynomials.
DIVIDING POLYNOMIALS Mr. Richard must have your “Un-Divided” attention for this lesson!
Warm up Objective: To divide polynomials Lesson 6-7 Polynomial Long 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.
Dividing Decimals Module 5 Lesson 4 GET READY TO WRITE NOTES.
9.4 Polynomial Division, Factors, and Remainders ©2001 by R. Villar All Rights Reserved.
Copyright © 2015, 2008, 2011 Pearson Education, Inc. Section 6.3, Slide 1 Chapter 6 Polynomial Functions.
Copyright © 2014, 2010, and 2006 Pearson Education, Inc. Chapter 4 Polynomials.
Addition, Subtraction, Multiplication, Division by a whole number, and Division by a decimal.
2.3 Real Zeros of Polynomial Functions 2014/15 Digital Lesson.
Quotient Dividend Remainder Divisor Long Division.
DIVISION. Standards G4.1M.C2.PO4A. Use multiple strategies to divide whole numbers using 4-digit dividends and divisors from 1 to 12 with remainders.
Division of Polynomials Digital Lesson. Copyright © by Houghton Mifflin Company, Inc. All rights reserved. 2 Dividing Polynomials Long division of polynomials.
My Book of Divisibility. THE 2’s Example: 30, 42, 24, 76, 98, Must be an even number Number must end in a 0, 2, 4, 6, or 8.
Chapter 5 Section 5. EXAMPLE 1 Use polynomial long division Divide f (x) = 3x 4 – 5x 3 + 4x – 6 by x 2 – 3x + 5. SOLUTION Write polynomial division.
Copyright © Cengage Learning. All rights reserved. 7 Rational Functions.
Dividing a Polynomial by a Binomial
Unit 6: Polynomial Expressions and Equations Lesson 6
Dividing Polynomials.
CLASS X Division Algorithm for Polynomials
Warm-up 6-4.
Monday: Announcements
Aim: How do we divide a polynomial by a binomial?
DIVIDING POLYNOMIALS.
DIVIDING POLYNOMIALS Synthetically!
Apply the Remainder and Factor Theorems Lesson 2.5
Operations on Rational Expressions
Division of Polynomials
Division of Polynomials
Division of Polynomials
Dividing Polynomials.
Digital Lesson Polynomial Functions.
Division of Polynomials
Digital Lesson Polynomial Functions.
Algebra 1 Section 9.6.
Division of Polynomials
Chapter 1 Whole Numbers.
Presentation transcript:

Division of Polynomials Digital Lesson

Copyright © by Houghton Mifflin Company, Inc. All rights reserved. 2 Dividing Polynomials Long division of polynomials is similar to long division of whole numbers. dividend = (quotient divisor) + remainder The result is written in the form: quotient + When you divide two polynomials you can check the answer using the following:

Copyright © by Houghton Mifflin Company, Inc. All rights reserved Example: Divide & Check Example: Divide x 2 + 3x – 2 by x – 1 and check the answer. x x 2 + x 2x2x– 2 2x + 2 – 4– 4 remainder Check: correct (x + 2) quotient (x + 1) divisor + (– 4) remainder = x 2 + 3x – 2 dividend Answer: x – 4– 4

Copyright © by Houghton Mifflin Company, Inc. All rights reserved. 4 Example: Divide & Check Example: Divide 4x + 2x 3 – 1 by 2x – 2 and check the answer. Write the terms of the dividend in descending order. 1. x2x2 2. 2x 3 – 2x x22x2 + 4x 4. + x 5. 2x 2 – 2x 6. 6x6x – x – Check: (x 2 + x + 3)(2x – 2) + 5 = 4x + 2x 3 – 1 Answer: x 2 + x Since there is no x 2 term in the dividend, add 0x 2 as a placeholder.

Copyright © by Houghton Mifflin Company, Inc. All rights reserved. 5 Example: Division With Zero Remainder x x 2 – 2x – 3x + 6 – 3 – 3x Answer: x – 3 with no remainder. Check: (x – 2)(x – 3) = x 2 – 5x + 6 Example: Divide x 2 – 5x + 6 by x – 2.

Copyright © by Houghton Mifflin Company, Inc. All rights reserved. 6 Example: Division With Nonzero Remainder Example: Divide x 3 + 3x 2 – 2x + 2 by x + 3 and check the answer. x2x2 x 3 + 3x 2 0x20x2 – 2x – 2 – 2x – 6 8 Check: (x + 3)(x 2 – 2) + 8 = x 3 + 3x 2 – 2x + 2 Answer: x 2 – Note: the first subtraction eliminated two terms from the dividend. Therefore, the quotient skips a term. + 0x

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

© 2024 SlidePlayer.com Inc. All rights reserved.