Question 965666
(8x+4)/(x-7)


{{{(8x+4)/(x-7)}}}


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


Roots is {{{x=-1/2}}} 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.  {{{x<>7}}}.


Vertical asymptote is at {{{x=7}}}.


Horizontal Asymptote?  {{{-4/7}}};
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