+0  
 
+1
42
4
avatar+1857 

I know how to set it up but still having a hard time actually solving these types of problems.

RainbowPanda  Sep 18, 2018
 #1
avatar+90023 
0

RP......Do you want synthetic division  or just regular polynomial division  ???

 

cool cool cool

CPhill  Sep 18, 2018
edited by CPhill  Sep 18, 2018
 #2
avatar+1857 
+1

Both maybe

RainbowPanda  Sep 18, 2018
 #3
avatar+90023 
+2

OK

 

Polynomial division....the idea is  to multiply the  "n"  of the divisor by a term that will "match" the first term 

For instance.....we want to multiply  "n"  by 9n^4   to match the first term , 9n^5

We just keep carrying this idea through each time

For the second term....we want to multiply "n"  by  -2n^3  to "match"  -2n^4.....etc...... 

 

                9n^4   - 2n^3      + 10n^2   +  n   + 6

(n + 9)  [  9n^5   + 79n^4    - 8n^3   + 91n^2  + 15n  +  46  ]

            -(  9n^5  + 81n^4 )

               _________________________________________

                           -2n^4     - 8n^3

                        - (-2n^4   - 18n^3)

                       _____________________________________

                                          10n^3  +  91n^2

                                         -(10n^3 + 90n^2)

                                        ____________________________

                                                          n^2   +  15n

                                                     -(   n^2  +     9n)

                                                     ______________________

                                                                        6n  + 46

                                                                  -( -  6n  + 54)

                                                                  ____________

                                                                                -8

 

So....the result  is   9n^4  - 2n^3  + 10n^2  + n  + 6   R [ -8 / (n + 9)  ]

 

Synthetic is usually  much faster....we  want to divide by  the thing that  makes (n + 9)  = 0....this is  - 9

 

So we have

 

-9 [ 9     79     -  8    91   15    46   ]

             -81    18    -90   -9    -54

    _________________________

     9      -2     10       1     6     -8

 

The residual polynomial is  9n^4 - 2n^3 + 10n^2 + 1n  +  6    R [ -8 / ( n + 9) ]...just as we found before !!!

 

Here's a good primer on polynomial diivsion : 

http://www.mesacc.edu/~scotz47781/mat120/notes/divide_poly/long_division/long_division.html

 

Here's a good primer on synthetic division : http://mesacc.edu/~scotz47781/mat120/notes/divide_poly/synthetic/synthetic_division.html

 

 

cool cool cool

CPhill  Sep 18, 2018
 #4
avatar+1857 
+1

Thank you so much!

RainbowPanda  Sep 18, 2018

10 Online Users

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.