\(\text{based on the problem last night I can write this out right off}\\ p(x) = (x-\sqrt{2}-\sqrt{3})(x-\sqrt{2}+\sqrt{3})(x+\sqrt{2}-\sqrt{3})(x+\sqrt{2}+\sqrt{3})\\~\\ p(x) = x^4-10 x^2+1\)

\(\text{based on the problem last night I can write this out right off}\\ p(x) = (x-\sqrt{2}-\sqrt{3})(x-\sqrt{2}+\sqrt{3})(x+\sqrt{2}-\sqrt{3})(x+\sqrt{2}+\sqrt{3})\\~\\ p(x) = x^4-10 x^2+1\)