Question

Write the polynomial whose zeroes are 27 root 3 and 2-root 3

Answer 1

Hi Mate !!


Given roots are :- x = ( 27 √3 ) and
x = ( 2-√3 )


• Sum of the Zeros :-

( 27√3 ) + 2 - √3 = 2 + 26√3

• Product of Zeros :-

( 27√3 ) × ( 2 - √3 )

54 √3 - 81

♯ To form the quadratic equation we have formula as :-

x² - ( Sum of Zeros )x + (Product of Zeros)

Putting values in it !!

x² - ( 2 + 26√3 )x + 54√3 - 81 = 0

Is the required quadratic equation !!