What is the remainder when x 3 - 7x - 6 is divided by the linear factor x - 4?

Question

will.h · Answer

we have 2 options 
you wanna use synthetic division or long division? 
which do you prefer?

redbirdd · Answer

which one would be easier

will.h · Answer

do you know how to use both methods?

redbirdd · Answer

Yes and no

will.h · Answer

i will use Synthetic division 
it is quite easier 
you ready?

redbirdd · Answer

okie dokie

will.h · Answer

$$x^3 -7x -6$$ wanna divide that by $$x-4$$
The 1st step to do is to set the coefficents of the x^3 -7x -6 like the following 

1 +0 -7 -6

Note: i added the zero why? because it is considered as the coeeficent of x^2 since we don't have that term we will have to add it here anyway

make sense so far?

redbirdd · Answer

can you show me how to set it up

will.h · Answer

okay this is the original shape 
|dw:1474460581451:dw|
that's all i did so far
make sense?