# A cool name

Level pending

Let K be the set of polynomials of the form

P(R)=$$R^{n}$$+$$c_{n-1}$$$$R^{n-1}$$+...+$$c_{2}R^{2}$$+$$c_{1}R$$+50,

where $$c_{1},c_{2},..., c_{n-1}$$ are integers and P(R) has distinct roots of the form a+ib with a and b integers. How many polynomials are in K?

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