PLEASE EXPLAIN This is a college algebra problemThe answer i

PLEASE EXPLAIN. This is a college algebra problem.The answer is shown. Please explain or show work how to arrive at this answer.

13. What is the remainder when 100 99 3 2x2 by x 2? 2x x 1 is divided

Solution

(-x^100 -2x^99 +x^3 +2x^2 +1)/(x+2

-x^99( x+2)/(x+2) + (x^3 +2x^2 +1)/(x+2)

= -x^99 + x^2 (x+2)/(x+2) +1/(x+2)

=-x^99 + x^2 +1/(x+2)

Remainder =1