SOLUTION: Use synthetic division to perform the division {{{(x^5+32)/(x+2)}}}

We write the numerator as



and change the sign of 2 in x+2 and use -2

-2 | 1   0   0   0   0  32
   |    -2   4  -8  16 -32 
     1  -2   4  -8  16   0

We interpret the bottom line as coefficients
of a polynomial which is one degree less than
the original.  So it will have degree 4

The quotient is



erase the 1 coefficient



Edwin