1. a) A monic polynomial is a polynomial which has leading coefficient 1. Find the real,...

1.

a) A monic polynomial is a polynomial which has leading coefficient 1. Find the real, monic polynomial of the lowest possible degree which has zeros −1−i,−2i and 3i, and z is the variable.

b) i) If we prove that if a, b and c are integers such that a|b and a|c then a|(b + c), what is the converse of this statement, and is it true?

ii) Why is the statment “If it is Thursday, then I have a pasta for dinner. Today is Friday, so I will not have a pasta for dinner” not valid?

Expert Solution

Colby Messinger answered 2 years ago

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