Question

find the quadratic polynomial whose zeros are 3+√7,3-√7

Answer 1

I hope this answer is correct

Answer 2

Hiii friend,

Alpha = 3+✓7 and Beta = 3-✓7

Sum of zeros = (Alpha + Beta) = (3+✓7+3-✓7) = 6

Product of zeros = (Alpha × Beta) = (3+✓7)(3-✓7) = (3)² - (✓7)² = 9-7 = 2.


Therefore,

REQUIRED POLYNOMIAL = X²-(Alpha + Beta)X + Alpah × Beta

=> X²-6X+2


HOPE IT WILL HELP YOU..... :-)