Question

Find a quadratic polynomial whose zeroes are 2 +5√3 and 2-5/3.​

Answer 1

Answer

x²-4x-71 is the answer

Answer 2

Answer:

Given zeroes are

2+5√3 and 2-5√3

sum of zeroes

2+5√3 +2-5√3=4

product of zeroes

(2+5√3) (2-5√3)

(2)^2-(5√3)^2

4-75

-71

Equation is

x^2+(Sum of zeroes)x+ product of zeroes

x^2 +4x -71