Presentation is loading. Please wait.

Presentation is loading. Please wait.

4.8b SKM & PP 1 Division of Polynomials. 4.8b SKM & PP 2 Division of Polynomials First, let’s review the symbols that represent the division problem:

Published byGrace Phillips Modified over 8 years ago

Similar presentations

Presentation on theme: "4.8b SKM & PP 1 Division of Polynomials. 4.8b SKM & PP 2 Division of Polynomials First, let’s review the symbols that represent the division problem:"— Presentation transcript:

1 4.8b SKM & PP 1 Division of Polynomials

2 4.8b SKM & PP 2 Division of Polynomials First, let’s review the symbols that represent the division problem: “a divided by b”

3 4.8b SKM & PP 3 How to Write: “Seventeen divided by five”

4 4.8b SKM & PP 4 Division of Polynomials Now let’s review the terminology for the parts of a division problem. Divisor Quotient Remainder Dividend Division Symbol

5 4.8b SKM & PP 5 Long Division Review the Terminology Divisor Quotient Remainder Dividend Division Symbol Equal Symbol “Seventeen divided by five”

6 4.8b SKM & PP 6 Long Division Divisor Quotient Remainder Dividend Division Symbol Equal Symbol “Seventeen divided by five”

7 4.8b SKM & PP 7 Long Division Divisor Quotient Fractional Remainder Dividend Division Symbol “Seventeen divided by five”

8 4.8b SKM & PP 8 12417 Long Division Study the steps! 34 36 57 48 9 3 4 9 12

9 4.8b SKM & PP 9 Polynomial Long Division: Steps The same steps are used to divide a polynomial by a binomial: 1. Divide 2. Multiply 3. Subtract 4. Bring Down

10 4.8b SKM & PP 10 x-2x2x2 - 13x+ 22 Example 1: Divide Multiply Subtract Bring Down + 22 Divide Multiply Subtract

11 4.8b SKM & PP 11 x- 11 x-2x2x2 - 13x+ 22 x2x2 - 2x -11x+ 22 -11x+ 22 0 Example 1: To check our answer, multiply the divisor and the quotient: (x - 2)(x - 11) = x 2 - 13x + 22

12 4.8b SKM & PP 12 3x-212x 2 + 13x- 14 Example 2: Divide Multiply Subtract Bring Down -14 Divide Multiply Subtract

13 4.8b SKM & PP 13 4x+ 7 3x-212x 2 + 13x- 14 12x 2 - 8x 21x- 14 21x- 14 0 Example 2: To check our answer, multiply the divisor and the quotient: (3x - 2)(4x + 7) = 12x 2 + 13x -14

14 4.8b SKM & PP 14 Example 3: -3 3x- 42x+1 6x 2 - 5x- 7 6x 2 + 3x -8x- 7 -8x- 4 - 3

15 4.8b SKM & PP 15 Example 3: -3 3x- 42x+1 6x 2 - 5x- 7 6x 2 + 3x -8x- 7 -8x- 4 - 3 Check: divisor times quotient plus remainder (2x+1)(3x-4) + (-3) = 6x 2 - 8x + 3x - 4 – 3 = 6x 2 - 5x -7

16 4.8b SKM & PP 16 x 2 + x+ 1 x-1x3x3 + 0x 2 + 0x 1 - 1 x3x3 - x 2 x 2 + 0x x 2 - x x- 1 x 0 Example 4: Remember to put in place holders for the missing powers of x.

17 4.8b SKM & PP 17 That’s All for Now!

Download ppt "4.8b SKM & PP 1 Division of Polynomials. 4.8b SKM & PP 2 Division of Polynomials First, let’s review the symbols that represent the division problem:"

Similar presentations

DIVISION. Division is...... splitting into equal parts or groups. It is the result of fair sharing. Division has its own special words to remember.

DIVISION. Division is splitting into equal parts or groups. It is the result of "fair sharing". Division has its own special words to remember.
Long and Synthetic Division of Polynomials Section 2-3.

Long and Synthetic Division of Polynomials Section 2-3.
Polynomial Division with a Box. Polynomial Multiplication: Area Method x + 5 x 2 x 3 5x25x2 -4x 2 -4x-4x -20x x +1 5 Multiply (x + 5)(x 2 – 4x + 1) x.

Polynomial Division with a Box. Polynomial Multiplication: Area Method x + 5 x 2 x 3 5x25x2 -4x 2 -4x-4x -20x x +1 5 Multiply (x + 5)(x 2 – 4x + 1) x.
EXAMPLE 1 Use polynomial long division

EXAMPLE 1 Use polynomial long division
Dividing Polynomials  Depends on the situation.  Situation I: Polynomial Monomial  Solution is to divide each term in the numerator by the monomial.

Dividing Polynomials  Depends on the situation.  Situation I: Polynomial Monomial  Solution is to divide each term in the numerator by the monomial.
HW: Pg. 341-342 #13-61 eoo.

HW: Pg #13-61 eoo.
6.8 Synthetic Division. Polynomial Division, Factors, and Remainders In this section, we will look at two methods to divide polynomials: long division.

6.8 Synthetic Division. Polynomial Division, Factors, and Remainders In this section, we will look at two methods to divide polynomials: long division.
Dividing Polynomials Chapter 4.6. 5 – – 15y 4 – 27y 3 – 21y 2 3y 2 15 3 – 27 3 – 21 3 y 2 y9 7 1. Divide. y 4 y 2 y 2 y 3 y 2 y 2 Write as separate fractions.

Dividing Polynomials Chapter – – 15y 4 – 27y 3 – 21y 2 3y – 27 3 – 21 3 y 2 y Divide. y 4 y 2 y 2 y 3 y 2 y 2 Write as separate fractions.
10-6 Dividing Polynomials Warm Up Warm Up Lesson Presentation Lesson Presentation California Standards California StandardsPreview.

10-6 Dividing Polynomials Warm Up Warm Up Lesson Presentation Lesson Presentation California Standards California StandardsPreview.
Lesson 2.4, page 301 Dividing Polynomials Objective: To divide polynomials using long and synthetic division, and to use the remainder and factor theorems.

Lesson 2.4, page 301 Dividing Polynomials Objective: To divide polynomials using long and synthetic division, and to use the remainder and factor theorems.
9.4 Polynomial Division ©2006 by R. Villar All Rights Reserved.

9.4 Polynomial Division ©2006 by R. Villar All Rights Reserved.
Polynomial Division and the Remainder Theorem Section 9.4.

Polynomial Division and the Remainder Theorem Section 9.4.
Ch 11.5 Dividing Polynomials

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.

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.
5. Divide 4723 by 5. Long Division: Steps in Dividing Whole Numbers Example: 4716  5 STEPS 1. The dividend is 4716. The divisor is 5. Write.

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.
Multiply polynomials vertically and horizontally

Multiply polynomials vertically and horizontally
SOLUTION EXAMPLE 2 Divide a polynomial by a binomial Divide x 2 + 2x – 3 by x – 1. STEP 1 Divide the first term of x 2 + 2x – 3 by the first term of x.

SOLUTION EXAMPLE 2 Divide a polynomial by a binomial Divide x 2 + 2x – 3 by x – 1. STEP 1 Divide the first term of x 2 + 2x – 3 by the first term of x.
6.4 Multiplying/Dividing Polynomials 2/8/2013. Example 1 Multiply Polynomials Vertically Find the product. () x 2x 2 4x4x7 – + () 2x – SOLUTION Line up.

6.4 Multiplying/Dividing Polynomials 2/8/2013. Example 1 Multiply Polynomials Vertically Find the product. () x 2x 2 4x4x7 – + () 2x – SOLUTION Line up.
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.

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.
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 Unit 6-5. Divide a polynomial by a monomial. Unit Objectives: Objective 1 Divide a polynomial by a polynomial of two or more terms.

Similar presentations

Ads by Google