Polynomial Division and Factorization  Justification of Synthetic
Division  Exercise 4
Long divide f(x) = 2x^{4} + 2x^{3}  3x^{2}
+ 2x + 1 by g(x) = x  5 and also synthetically divide
f(x) = 2x^{4} + 2x^{3}  3x^{2} + 2x + 1
by g(x) = x  5. Explain in your own words why the synthetic
division process works. Note the the justification for the division
is already given  Only provide an explanation why the Synthetic
Division process works.
STATEMENT 
JUSTIFICATION 
(2x^{4} + 2x^{3}  3x^{2}
+ 2x + 1) ÷ (x  5)

Application of
Division Algorithm

