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  3. 1. a) a monic polynomial is a polynomial which has

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

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Advance Math

1.
a) A monic polynomial is a polynomial which has leadingcoefficient 1. Find the real, monic polynomial of the lowestpossible degree which has zeros ?1?i,?2i and 3i, and z is thevariable.
b) i) If we prove that if a, b and c are integers such thata|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 apasta for dinner. Today is Friday, so I will not have a pasta fordinner” not valid?

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