Question

find the quadratic polynomial whose zeroes are (5+2root3) and (5-2root3)

Answer 1

Hi Mate!!!

Required quadratic polynomial in x is

x² - ( sum of zeros )x + product of zeros = 0

Sum of zeros = 10

and

product of zeros 5² - ( 2√3)² = 13

So, required quadratic polynomial in x is

x² - ( 10 )x + 13=0