1. It is known that the number $\sqrt{3}+\sqrt{5}$ is a root of a polynomial of the fourth degree with integer coefficients, the leading coefficient of which is 1. What is the sum of the coefficients of this polynomial?
Answer: -11

2. It is known that the number $\sqrt{3}+\sqrt{7}$ is a root of a polynomial of the fourth degree with integer coefficients, the leading coefficient of which is 1. What is the sum of the coefficients of this polynomial?

Answer: -3