In order to find a root of a(x) in a finite field F, the simplest method...

 

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In order to find a root of a(x) in a finite field F, the simplest method (if F is small) is to test every element of F by substitution into the equation a(x) = 0. 1 Find all the roots of the following polynomials in z 5[x], and factor the polynomials: x³+x²+x+1; 3x4+x²+1; x³+1; 4+1; 4+4 In order to find a root of a(x) in a finite field F, the simplest method (if F is small) is to test every element of F by substitution into the equation a(x) = 0. 1 Find all the roots of the following polynomials in z 5[x], and factor the polynomials: x³+x²+x+1; 3x4+x²+1; x³+1; 4+1; 4+4

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To find the roots of each polynomial in Zx we simply substitute every element of Z into polynomial a... View the full answer