Question

if 2+√3,2-√3 are the zeroes of polynomial then, find the quadratic polynomial.​

Answer 1

Answer:

answer for the given polynomial is given

Answer 2

$\mathcal \pink {{SOLUTION:-}}$

Let α and β be the zeros of quadratic polynomial.

•°• α = 2 + √3 and β = 2 - √3

$\tt \orange {{now,}}$

α + β = 2 + √3 + 2 - √3 = 4

α + β = 4

$\tt \orange {{And,}}$

αβ = (2 + √3) (2 - √3)

αβ = 2² - (√3)²

αβ = 4 - 3 = 1

αβ = 1

Quadratic equation = x² - (α + β)x + αβ = 0

= x² - (4)x + 1

=> x² - 4x + 1 = 0 is required quadratic polynomial.