Question Number 49237 by cesar.marval.larez@gmail.com last updated on 04/Dec/18
![Find a polynomial f(x)∈Q[x] such that its main coefficient is 1 and ((√2)+(√3))∈V(f)](Q49237.png)
$${Find}\:{a}\:{polynomial}\:{f}\left({x}\right)\in{Q}\left[{x}\right]\:{such} \\ $$$${that}\:{its}\:{main}\:{coefficient}\:{is}\:\mathrm{1}\:{and}\: \\ $$$$\left(\sqrt{\mathrm{2}}+\sqrt{\mathrm{3}}\right)\in{V}\left({f}\right) \\ $$