Dividing Polynomials – Part 2 Honors Math – Grade 8.

Slides:

Advertisements

Similar presentations

Polynomials Identify Monomials and their Degree

Advertisements

Simplify each polynomial Adding and Subtracting Polynomials.

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.

3.7 Warm Up Solve the equation. 1. √(x + 3) + 8 = √(8 – 3x) + 5 = √(2x + 1) – 7 = 1.

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.

Do Now Pass out calculators. Write down the weeks assignments. Pick up a worksheet from the back and wait for instructions.

3.7Divide Polynomials Example 1 Divide a polynomial by a monomial Divide 10x 3  25x x by 5x. Solution Method 1: Write the division as a fraction.

Chapter 6 – Polynomials and Polynomial Functions

Ch 11.5 Dividing Polynomials

Section 5-3 Dividing Polynomials Created by: John M and Nick M.

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.

Lesson 2.3 Real Zeros of Polynomials. The Division Algorithm.

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:

5.6 Dividing Polynomials.

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.

Martin-Gay, Beginning Algebra, 5ed 22 Dividing a Polynomial by a Monomial Divide each term of the polynomial by the monomial. Example:

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.

Polynomials Identify monomials and their degree Identify polynomials and their degree Adding and Subtracting polynomial expressions Multiplying polynomial.

6.3 Dividing Polynomials 1. When dividing by a monomial: Divide each term by the denominator separately 2.

Warm-up: 9/9 Factor the following polynomials a.) b.) c.)

Divide a polynomial by a binomial

4-3 The Remainder and Factor Theorems

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

Dividing Polynomials. Simple Division - dividing a polynomial by a monomial.

Synthetic Division. Review: What is a polynomial? How do we know the degree of the polynomial?

Warm up Objective: To divide polynomials Lesson 6-7 Polynomial Long Division.

Section 6.6 Dividing Polynomials  Dividing a Monomial by a Monomial  Dividing a Polynomial by a Monomial  Dividing a Polynomial by a Polynomial Long.

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.

Dividing Polynomials: Long Division. Essential Question  How do I use long division to divide polynomials?

7 th Grade Math Honors LESSON 7. Multiplying & Dividing Decimal Numbers - Estimation  Multiplying 1. Pretend that the decimals are not there and multiply.

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

MAIN IDEAS DIVIDE POLYNOMIALS USING LONG DIVISION. 6.3 Dividing Polynomials.

11-3 Dividing Polynomials Hubarth Algebra. Divide (18x 3 + 9x 2 – 15x) by 3x 2. (18x 3 + 9x 2 – 15x)3x23x2 ÷= 1 3 x 2 = + – 18x 3 3x 2 9x23x29x23x2 15x.

Objective Use long division and synthetic division to divide polynomials.

Warm Up Divide using long division ÷ ÷

Dividing a Polynomial by a Binomial

Dividing Polynomials: Long Division

Dividing a Polynomial by a Monomial

Reminder steps for Long Division

Dividing Polynomials.

CST Warm Up 1) 2) 3) 4).

5.2 Dividing Polynomials.

Assignment 15: 11.5 WB Pg. 153 #2 – 20 even

Essential Questions How do we use long division and synthetic division to divide polynomials?

Aim: How do we divide a polynomial by a binomial?

5-3 Dividing Polynomials

4.7 Dividing Polynomials.

Dividing Polynomials.

Dividing Polynomials Tyler McKell.

Objective Use long division and synthetic division to divide polynomials.

Polynomials and Polynomial Functions

Polynomial Long Division

5 Section 5 Dividing Polynomials.

Dividing Polynomials.

Exponents and Polynomials

Dividing Polynomials.

Reminder steps for Long Division

Dividing polynomials This PowerPoint presentation demonstrates two different methods of polynomial division. Click here to see algebraic long division.

Dividing Polynomials.

11.5 Dividing Polynomials.

Section 5.6 Dividing Polynomials.

Lesson 7.4 Dividing Polynomials.

Keeper 11 Honors Algebra II

3.7 Divide Polynomials - + Divide a polynomial by a monomial = =

Warm Up Honors Algebra 2 11/3/17

Synthetic Division Notes

Presentation transcript:

Dividing Polynomials – Part 2 Honors Math – Grade 8

To divide a polynomial by a monomial, divide each term of the polynomial by the monomial. Divide each term by 5n

To divide a polynomial by a monomial, divide each term of the polynomial by the monomial. Divide each term by 2x 2

Long division can be used to divide a polynomial by a binomial as well as factoring. Setup a division house. Step 1. Divide the first term of the dividend, x 2, by the first term of the divisor, x. Multiply x and x – 4. Subtract. Be careful of the integer rules. Bring down. Start over. Multiply 7 and x – 4.

Long division can be used to divide a polynomial by a binomial as well as factoring. Setup a division house. Step 1. Divide the first term of the dividend, y 2, by the first term of the divisor, y. Multiply y and y + 3. Subtract. Be careful of the integer rules. Bring down. Start over. Multiply 0 and y + 3.

Long division can be used to divide a polynomial by a binomial as well as factoring. Setup a division house. Step 1. Divide the first term of the dividend, x 2, by the first term of the divisor, x. Multiply 3b and b + 5. Subtract. Be careful of the integer rules. Bring down. Start over. Multiply -6 and b + 5.

Long division can be used to divide a polynomial by a binomial as well as factoring. Setup a division house. The a 2 term is missing. Insert one with a coefficient of 0. Step 1. Divide the first term of the dividend, a 3, by the first term of the divisor, a. Multiply a 2 and a – 2. Subtract. Be careful of the integer rules. Bring down. Start over. Multiply -2a and a – 2. Multiply 12 and a – 2.

Long division can be used to divide a polynomial by a binomial as well as factoring. Setup a division house. The x 2 term is missing. Insert one with a coefficient of 0. Step 1. Divide the first term of the dividend, x 3, by the first term of the divisor, x. Multiply x 2 and x – 5. Subtract. Be careful of the integer rules. Bring down. Start over. Multiply 5x and x – 5. Multiply -9 and x – 5.