This is the basic and conceptual question from polynomials in which we have given a polynomial x²-4x+1 and 2+√3 is one of its zeroes and we have been asked to find the other zeroes of the given polynomial.
Kindly solve the above problem
RS Aggarwal, Class 10, chapter 2C, question no 1
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)