how do i do synthetic division

Question

amistre64 · Answer

its quite simple, you got an example?

anonymous · Answer

i do not

amistre64 · Answer

its important the your poly  is "all filled in" meaning that you include all the x^n parts in succession.

$$x^4+x^2+1\to\ x^4+0x^3+x^2+0x^1+1$$

amistre64 · Answer

the rest is just adding and multiplying ....

amistre64 · Answer

there are different setups, and you should pick something that suits you ...

quite frankly, if you keep your poly intact it works the same way ...

anonymous · Answer

i have an example hold on

anonymous · Answer

2x^3+3x^2-x-2 divided by x-2

amistre64 · Answer

3,2,1,0  its powers are in order, so we aint got to fill in any spots.

the value of x that zeros out the divide by part is something we will use;  x=2 makes that go zero

now for the setup

amistre64 · Answer

poly here
         0 add this row
       -------------
root ) multiply by this row

amistre64 · Answer

2x^3 + 3x^2 - x - 2
     0         4        14  26
   --------------------
2 ) 2         7        13  24

drop a level on your power to create

2x^2 +7x +13 + 24/(x-2)

anonymous · Answer

i didnt understnd any of that :(

amistre64 · Answer

im sure you have questions about it, it would be better if yo actually asked them instead of relying upon me to read your mind :)

anonymous · Answer

basically i dont understand words in an explanation i need to know more what numbers need to go where and do what

amistre64 · Answer

thats what i outlined here to the best of my ability

           poly here
         0 add this row
       -------------
root ) multiply by this row

anonymous · Answer

whats a poly what 0 what root?

anonymous · Answer

i dont understand math terms

amistre64 · Answer

a poly is a polynomial; that equation with all the powers of x in it

amistre64 · Answer

0 is just the starting value you add to get the ball rolling

the root is what i defined as being the zero of the divide by portion

amistre64 · Answer

x-2 = 0 ; x= 2 makes this zero.  so the root is 2

amistre64 · Answer

2x^3 + 3x^2 - x - 2  <-- this was your poly
     0         4        14  26 <-- these values you add to the polys number term
   --------------------
2 ) 2         7        13  24  <-- these values you multiply the root by
^
this is the root

amistre64 · Answer

2+0 = 2

2*2 = 4

3+4 = 7

2*7 = 14

-1+14 = 13

2*13 = 26

-2+26 = 24

anonymous · Answer

thank you for trying to help but i give up :(

amistre64 · Answer

'sok :)  good luck