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Polynomial Division and Factorization - Justification of Synthetic Division - Exercise 4

Long divide f(x) = 2x4 + 2x3 - 3x2 + 2x + 1  by g(x) = x - 5 and also synthetically divide f(x) = 2x4 + 2x3 - 3x2 + 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
(2x4 + 2x3 - 3x2 + 2x + 1) (x - 5)

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Application of Division Algorithm

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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