Download presentation

Presentation is loading. Please wait.

Published byShanon Ryan Modified over 6 years ago

1
Synthetic Division Dela Peña, Kenneth A.

2
- is a shorthand, or shortcut, method of dividing polynomial by a binomial of the form x – b. Synthetic Division

3
Study The Example: 1. x 3 – x 2 + x – 1 divided by x – 1

4
Step 1 : - Get the numerical coefficients of each terms where must be arranged such that exponents are descending consecutively x 3 x 2 x Constant 1 1 └ 1 This is b in x - b Bring down 1 x 3 – x 2 + x – 1 divided by x – 1

5
Step 2 : - Multiply the first numerical coefficient by b. Put the product below the next numerical coefficient. 1 -1 1 -1 └ 1 1 + 1 x 1 = 1

6
Step 3 : -Add the numbers in second column. 1 -1 └ 1 1 + 1 -1 + 1 = 0

7
Step 4 : - Do step 2, this time multiplying the sum of the second column by b and write the products below the next numerical coefficient in the next column. 1 -1 └ 1 1 + 1 0 0 1 x 0 = = 1 + 0 1

8
Step 5 : - Continue the process until the last column is filled. 1 -1 └ 1 1 + 1 0 0 1 1 x 1 = 1 0= remainder +

9
└ 1 1 -1 1 + 1 0 0 1x 2 + 0x 1 + 1 1 0 - This sums are the numerical coefficient of each term in quotient where the first is the numerical coefficient of the term x n – 1. 1 x 2 + 1 =

Similar presentations

© 2022 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