There is a unique polynomial P(x) of degree 4 with rational coefficients and leading coefficient 1 which has sqrt(2) + sqrt(15) as a root. What is P(1)?
First find out the exact formula for $P(x)$. To do that, you can use the method as described in the solution at https://web2.0calc.com/questions/hard-algebra_17#r1. Once the formula for $P(x)$ is known, just plug in 1 for x to get the answer.