Question

Find the quadratic polynomial whose zeroes are 2+root 3 and 2-root3

Answer 1

x^2-(sum of roots)x+(product of roots)
x^2-4x+(4-3)
x^2-4x+1

Answer 2

Answer:

Quadratic equation =

X^2 - (sum of the zeroes)x + (product of the zeroes)

Sum= 2 + root3 + 2 - root3

=4

Product = (2 + root3)(2-root3) = 4-3 = 1

So quadratic equation is

X^2 - 4x + 1