Question

Find the quadratic polynomial who p whose zeros are 5+2 root3 and 5-2 root 3

Answer 1

Sum of zeroes = 5 + 2√3 + (5 - 2√3)

= 5 + 2√3 + 5 - 2√3 = 10

Product of zeroes = (5 + 2√3)(5 - 2√3)

= (5)^2 - (2√3)^2

= 25 - 12 = 13

Polynomial = x^2 - (Sum of zeroes)x + Product of zeroes

= x^2 - (10)x + 13

= x^2 - 10x + 13

This is the required answer. Please mark it as brainliest.