SOLUTION: Hi, I had an algebra problem and didn't quite understand it. Can you explain it for me? I can't find a solution... Problem: 8x+4 ------ x-7 (8x+4 over

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Question 965666: Hi, I had an algebra problem and didn't quite understand it. Can you explain it for me? I can't find a solution...
Problem:
8x+4
------
x-7
(8x+4 over (x-7))
Answer by josgarithmetic(39617) (Show Source):
You can put this solution on YOUR website!
(8x+4)/(x-7)

What do you want with it? No equation and no inequality, so nothing to solve. Roots? Domain? Asymptotes?

Roots is for the expression to be equal to 0.

Domain? The x value for which the expression is undefined is at x=7, because the denominator would be 0, which cannot be allowed. .

Vertical asymptote is at .

Horizontal Asymptote? ;
Do you know why?

-----------DIVIDEND divided by DIVISOR------------

Difficult text adjustment process to do the division problem on the site's page, but just like regular Long Division, first ask how many times does x go into 8x? That will be the first partial quotient. Multiply this result by x-7, and subtract from the first two parts of the dividend.....
... You will have a nonzero remainder.

Attempt to show text-based polynomial division process all in ONE single chart:

__________|____8______________-------------quotient line
__________|___________________
__________|
x-7_______|_____8x_______4--------------------dividend line at right, divisor line at left
__________|
_______________8x_______-56
____________________________
________________0_______60----------------results of subtraction, and showing any remainder of last subtraction result