MATH 120B Quiz: Math_120B_-_Quiz_8_Ver._1_(Fall17)SOLUTIONS
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In this quiz you may use both sides of this sheet for your work if you need to. Since hbi 6= r we know b is not a unit. =) hai = hbi by r an integral domain (theorem). Prove r/ hai is a eld: we know r/ hai is a eld i hai is maximal when r is an integral domain, (4 pts. ) Z2[x]/ x3 + x2 + 1 precicely once. (give the total # of elements at the end and as usual, circle your answer) (a) 8 elements. Let i = x3 + x2 + 1 .
