Question

Find the quadratic polynomial sum of whose zeroes are 2√3 and their product is 2

Answer 1

Sum of zeroes = 2 root3

Product of zeroes = 2

Required polynomial = x^2 - (sum of zeroes)x + (product of zeroes)

$= {x}^{2} - 2 \sqrt{3} x + 2$

Answer 2

Sum of zeroes = 2√3

product of zeroes = 2



required quadratic polynomial = x²-(sum of zeroes)x + product of zeroes.

= x²-(2√3)x + 2

= x²-2√3x + 2