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Synthetic or long division?

I dont know it just says Perform the division

So you don't care what method.

I prefer synthetic then.

|dw:1439675614505:dw|
this is the setup for the problem going with the synthetic approach

|dw:1439675710797:dw|

|dw:1439675753198:dw|
try to continue the pattern

4(4)=?

|dw:1439676022903:dw| like this? i've never done synthethic dvision before. sorry for the late reply

well 4(4) should be 16

|dw:1439676114092:dw|
but somehow you did -14+16 instead of -14+12 anyways

so your division leads to 7x^2+4x+2

oops x is r in this case

|dw:1439676223679:dw|

long division example:
|dw:1439676805835:dw|

this is the setup for long divison
and yes I'm setting up your original problem

these polynomials already good

|dw:1439676965443:dw|

whatever numbers we put up there we will multiply them once by (r-4)

|dw:1439677015437:dw|
we subtract to see what is leftover

|dw:1439677114356:dw|
now we do the division again then multiplication then subtraction then repeat

|dw:1439677205554:dw|
multiplication to the divisor (r-4)

\[4r(r-4) \\ 4r(r-4)=4r^2-16r\]|dw:1439677247246:dw|

and then we back to the subtraction

|dw:1439677351500:dw|

back to the division part |dw:1439677374516:dw|
what is 2r/r
this is 2

but yes this says
again \[\frac{7r^3-24r^2-14r-8}{r-4}=7r^2+4r+2\]

synthetic division makes this slightly prettier and seems like less work :)

I must go for now
peace and have fun

7r3âˆ’24r2âˆ’14râˆ’8 / râˆ’4
= 7r3âˆ’24r2âˆ’14râˆ’8 / râˆ’4
= (râˆ’4)(7r2+4r+2) / râˆ’4
=7r2+4r+2

Btw, r2 means r^2 :D

what -4 ? where is at ? :P

ohh this one ?http://prntscr.com/85fre5

ello r u there ?? o.O

also why is -24r^2 - 28r^2 positive? i got -52r^2

in long division

|dw:1439767178262:dw|

ooooooh no nvm

yeah i see now thanks! :)

|dw:1439767386640:dw|

np :)