Question 860656
That is checking the value of -7 as a root, and you can do synthetic division.  r will be the remainder, nonzero if -7 is not a root of f(x).  The quotient will be what you find for q(x).


Badly stated:You will/should find {{{q(x)=x^2+3x+6}}} and {{{cross(r=5/(x+7))}}}.


Better Stated:  {{{highlight(f(x)=(x+7)(x^2+3x+6)+5)}}}