Home > Algebra calculators > Synthetic division of two polynomials calculator

Solve any problem
(step by step solutions)
Input table (Matrix, Statistics)
Mode :
SolutionHelp
Solution
Find Synthetic division (3x^3-2x^2+3x-4)/(x-3)

Solution:
Your problem `->` Synthetic division (3x^3-2x^2+3x-4)/(x-3)


`((3x^3-2x^2+3x-4))/((x-3))` using synthetic division

To determine root divisor, we have to solve divisor equation `x-3=0`

`:.` our root becomes `x=3`

Write coefficients of the dividend `3x^3-2x^2+3x-4` to the right and our root `3` to the left

`3``3``-2``3``-4`
````````


Step-1 : Write down the first coefficient `3`

`3``3``-2``3``-4`
````````
`3`


Step-2 : Multiply our root `3` by our last result `3` to get `9` [ `3` × `3` = `9` ]

`3``3``-2``3``-4`
```9`````
`3`


Step-3 : Add new result `9` to the next coefficient of the dividend `-2`, and write down the sum `7`, [ `(-2)` + `9` = `7` ]

`3``3``-2``3``-4`
```9`````
`3``7`


Step-4 : Multiply our root `3` by our last result `7` to get `21` [ `3` × `7` = `21` ]

`3``3``-2``3``-4`
```9``21```
`3``7`


Step-5 : Add new result `21` to the next coefficient of the dividend `3`, and write down the sum `24`, [ `3` + `21` = `24` ]

`3``3``-2``3``-4`
```9``21```
`3``7``24`


Step-6 : Multiply our root `3` by our last result `24` to get `72` [ `3` × `24` = `72` ]

`3``3``-2``3``-4`
```9``21``72`
`3``7``24`


Step-7 : Add new result `72` to the next coefficient of the dividend `-4`, and write down the sum `68`, [ `(-4)` + `72` = `68` ]

`3``3``-2``3``-4`
```9``21``72`
`3``7``24``68`


We have completed the table and have obtained the following coefficients
`3,7,24,68`

All coefficients, except last one, are coefficients of quotient, last coefficient is remainder.
Thus quotient is `3x^2+7x+24` and remainder is `68`






Solution provided by AtoZmath.com
Any wrong solution, solution improvement, feedback then Submit Here
Want to know about AtoZmath.com and me
  
 

Share with your friends, if solutions are helpful to you.
 
Copyright © 2018. All rights reserved. Terms, Privacy