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Write out the addition and multiplication tables for the ring Z2[x]/(x^2 + x). Is Z2[x]/(x^2 +...

Write out the addition and multiplication tables for the ring Z₂[x]/(x^2 + x). Is Z₂[x]/(x^2 + x) a field?

Solutions

Expert Solution

Solution : where

Addition table

Multiplication table

Now we talk weather is field or not

Since we know that every field is an Integral Domain

Here if we take Non zero elements

Then as discussed in Multiplication table

===> is Not an Integral domain hence cannot be field

milcah answered 1 year ago

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