Question

find the quadratic polynomial whose zeros are 2 + root 3 2 minus root​

Answer 1

Answer:x^2-4x+1=0

Step-by-step explanation:

equation of quadratic is

{x-(2+root3)}{x-(2-root3)}=0

=>x^2-(2+root3+2-root3) x+(2+root3)(2-root3)

=> x^2-4x+1=0

Answer 2

Q. find the quadratic polynomial whose zeros are 2 + √3, 2-√3

Solution:

Sum of zeroes= 2+√3+2-√3= 4

Product of zeroes=( 2+√3)(2-√3)= 2²-(√3)²=4-3=1

Applying Quadratic Polynomial formula

x²-(sum of zeroes)x+ Product of zeroes=0

x²-4x+1=0