Question

find a quadratic polynomial whose zeroes are 2+ √5 and -√5

Answer 1

x^2-(2+√5)x-√5

I hope it's help u...

Answer 2

Hey

Here is your answer,

Zeroes = 2+√5 , 2-√5

Sum of zeroes = 2+√5-√5
= 2

Product of zeroes =( 2+√5) (-√5)
=-2√5-5

Therefore, the sum of the zeroes = 2
Product of zeroes =-2√5-5

Quadratic polynomial = x^2 - ( Sum of zeroes) x + product of zeroes
= X^2 - 2x - 2√-5

Hope it helps you!