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x) = 5×4 + 3×3 + 1 and g(x) =3×2 + 2x + 1 in Z7[x].  Determine the quotient and the remainder upon dividing f(x) by g(x). It needs to be applied to Z7.  My guess is we need to use mod 7 with the quotient and the remainder? I got (5/3)x2 – (1/9)x – (13/27) as the quotient. (29/27)x + (40/27) as the remainder.  This is not the correct answer as it states in the back of the book.  The back of the book has the following: Quotient:  4×2 + 3x + 6 and remainder 6x + 2

- August 24, 2022 - Edwin Tunner

Let f(x) = 5x4 + 3x3 + 1 and g(x) =3x2 + 2x + 1 in Z7[x].  Determine the quotient and the remainder upon dividing f(x) by g(x).

It needs to be applied to Z7.  My guess is we need to use mod 7 with the quotient and the remainder?

I got (5/3)x2 – (1/9)x – (13/27) as the quotient.

(29/27)x + (40/27) as the remainder.  This is not the correct answer as it states in the back of the book.  The back of the book has the following:

Quotient:  4x2 + 3x + 6 and remainder 6x + 2

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