Answer Happy

Identity the splitting field of x3+x2+1 over Z2. Write
the addition and multiplication tables of the splitting
field.
Identity the splitting field of x² + x² + 1 Over 2₂ Weitt the addition and multiplication tables of the spotting Hueld wit" x + x + 1 = (x-7)(x-x-1) m 2. X-X-1=(x-)(x+2) = (x+2)* doesn't spit easy Claim 2.10.) has elements 2:8 Awitin +01 U0 UV V Vs 0 OU UN NN TI Us U U this is a cyclic group UV- Ug = UW Oto+1=0 W: -(0+1) 0,= (2+1) 0 1 0 ✓ IV Moltiplication *oll Tulų UN NE 100 | 0. UV VN Us 0 V.0.0. V VV NON