Question 1204167

{{{(6x^2+31x-29)/ (x+6)}}}

use long division
.........({{{6x-5 }}}=>quotient
{{{(x+6)}}}|{{{6x^2+31x-29}}} 
............{{{6x^2+36x}}}........subtract
..................{{{-5x}}}.......bring {{{-29}}} down
..................{{{-5x-29}}}
..................{{{-5x-30}}}........subtract
...........................{{{1}}} =>reminder

{{{6x^2 + 31 x - 29 = (6 x - 5)(x + 6) + 1}}}

answer:
the quotient is {{{6x-5}}}
the reminder is {{{1}}}