Question

Write the polynomial whose zeros are 2 minus under root 3 and 2 + under root 3

Answer 1

For making polynomial

Here is the formula

Xsq -(sum of zeros)x + product of zeros=0

Xsq -(2-√3+2+√3)x +(2-√3).(2+√3)=0

Xsq - 4x +1=0

Which is required polynomial..

ans

Answer 2

use x2- (sum of roots) x + (product of roots)

sum of roots : 2+root3 + 2-root 3 = 4

product of roots : (2+root3) (2-root 3) = 1

so,  x2 - (4)x + (1)

hence, the polynomial which fits the condition is " x2-4x+1 "