find a quadratic polynomial whose zeroes are root 3 + root 5 and root 5 - root 3

let two given zeros given be a and b
then a+b=√5+√3+√5-√3=2√5
ab=(√5+√3)(√5-√3)=2
polynomial =
x²-(a+b)x+AB
x²-2√5x+2