Given : (2+√3) is one of the polynomial x2−4x+1
to find : other zero
since given polynomial is quadratic so it has only two zeros.
Let other zero be x.
Now, Sum of zero =−(coefficient of x)(coefficient of x2)
x+(2+√3)=−(−4)1=4
x+2+√3=4
or x=2−√3
hence , the other zero is (2−√3)