Answer
The trinomial is prime.
Work Step by Step
$(x+my)(x+ny)=x^{2}+(m+n)xy+(mn)y^{2}$
$x^{2}+xy+y^{2}=$
Searching for two factors of $c=+1$ whose sum is $b=+1,$
we find$\qquad $that there aren't any.
The trinomial is prime.
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