document.write( "Question 31161: List all the polynomials of degree exactly two in Z3[t]. Which of these are reducible, which are irreducible
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Algebra.Com's Answer #18276 by venugopalramana(3286) $\"\"$ $\"About$

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2) list all the polynomials of degree exactly two in Z3[t]. Which of these
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\n" ); document.write( "AT^2+BT+C FOR VARIOUS VALUES OF A,B,C ARE POLYNOMIALS OF DEGREE 2 IN VARIANT T.
\n" ); document.write( "WE CAN EASILY SEE THAT FOR A=1,B=1,C=-1
\n" ); document.write( "F(T)=T^2+T-1 IS NOT REDUCIBLE IN Z3,SINCE
\n" ); document.write( "F(0),F(1),F(-1),F(2),F(-2) ARE ALL NOT EQUAL TO
\n" ); document.write( "ZERO(MOD3) \n" ); document.write( "

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