Download presentation

Presentation is loading. Please wait.

1
**Warm Up Divide using long division. 1. 161 ÷ 7 23 2. 12.18 ÷ 2.1 5.8**

6x – 15y 3 3. 2x + 5y 7a2 – ab a 4. 7a – b

2
Objective Use long division and synthetic division to divide polynomials.

3
Vocabulary synthetic division

4
Polynomial long division is a method for dividing a polynomial by another polynomials of a lower degree. It is very similar to dividing numbers.

5
**Example 1: Using Long Division to Divide a Polynomial**

Divide using long division. (–y2 + 2y3 + 25) ÷ (y – 3) Step 1 Write the dividend in standard form, including terms with a coefficient of 0. 2y3 – y2 + 0y + 25 Step 2 Write division in the same way you would when dividing numbers. y – 3 2y3 – y2 + 0y + 25

6
Example 1 Continued Step 3 Divide. 2y2 + 5y + 15 Notice that y times 2y2 is 2y3. Write 2y2 above 2y3. y – 3 2y3 – y2 + 0y + 25 –(2y3 – 6y2) Multiply y – 3 by 2y2. Then subtract. Bring down the next term. Divide 5y2 by y. 5y2 + 0y –(5y2 – 15y) Multiply y – 3 by 5y. Then subtract. Bring down the next term. Divide 15y by y. 15y + 25 Multiply y – 3 by 15. Then subtract. –(15y – 45) 70 Find the remainder.

7
Example 1 Continued Step 4 Write the final answer. –y2 + 2y3 + 25 y – 3 = 2y2 + 5y 70 y – 3

8
Check It Out! Example 1a Divide using long division. (15x2 + 8x – 12) ÷ (3x + 1) Step 1 Write the dividend in standard form, including terms with a coefficient of 0. 15x2 + 8x – 12 Step 2 Write division in the same way you would when dividing numbers. 3x x2 + 8x – 12

9
**Check It Out! Example 1a Continued**

Step 3 Divide. 5x + 1 Notice that 3x times 5x is 15x2. Write 5x above 15x2. 3x x2 + 8x – 12 –(15x2 + 5x) Multiply 3x + 1 by 5x. Then subtract. Bring down the next term. Divide 3x by 3x. 3x – 12 –(3x + 1) Multiply 3x + 1 by 1. Then subtract. –13 Find the remainder.

10
**Check It Out! Example 1a Continued**

Step 4 Write the final answer. 15x2 + 8x – 12 3x + 1 = 5x + 1 – 13 3x + 1

11
Check It Out! Example 1b Divide using long division. (x2 + 5x – 28) ÷ (x – 3) Step 1 Write the dividend in standard form, including terms with a coefficient of 0. x2 + 5x – 28 Step 2 Write division in the same way you would when dividing numbers. x – 3 x2 + 5x – 28

12
**Check It Out! Example 1b Continued**

Step 3 Divide. x + 8 Notice that x times x is x2. Write x above x2. x – 3 x2 + 5x – 28 –(x2 – 3x) Multiply x – 3 by x. Then subtract. Bring down the next term. Divide 8x by x. 8x – 28 –(8x – 24) Multiply x – 3 by 8. Then subtract. –4 Find the remainder.

13
**Check It Out! Example 1b Continued**

Step 4 Write the final answer. x2 + 5x – 28 x – 3 = x + 8 – 4 x – 3

14
**Holt Chapter 6 Section 3 Page 426 #2-4, 13-18**

Homework! Holt Chapter 6 Section 3 Page 426 #2-4, 13-18

Similar presentations

© 2021 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google