Question

If one zero of the polynomial `x^2-4x+1 is (2+sqrt3)` write the other zero. 

 

 

Answer 1

Let the other zero of the given polynomial be . α   

Now, 

Sum of the zeroes of the given polynomial =`-(-4)/1=4` 

∴ `α +(2+sqrt3)=4` 

⇒` α=4-2-sqrt3=2-sqrt3` 

Hence, the other zero of the given polynomial is `(2-sqrt3)`