MHB Let F ={0 , 1 , a , b} be a field with four elements.

[rayne1]

Let F ={0 , 1 , a , b} be a field with four elements. What is a + b^2 and a^2 + b^2.

Apparently, the answers are b and 1, respectively. How do we come to that conclusion?

 

[I like Serena]

Let F ={0 , 1 , a , b} be a field with four elements. What is a + b^2 and a^2 + b^2.

Apparently, the answers are b and 1, respectively. How do we come to that conclusion?

Hi rayne!

Can you set up a multiplication table?
And an addition table?

 

[I like Serena]

Btw, I do not believe that a + b^2 = b.
There seems to be a mistake in the problem statement.