Question

find the quadratic polynomial whose zeroes are -2√3 and -√3/2​

Answer 1

hope this helps u

the general formula with two zeros are  of polynomial

x²+(alpha +beta ) x + alphabeta

-2√3 is alpha

-√3/2  is beta

x²+( - 2√3 + -√3/2)x + -2√3*-√3/2 lcm of 2,1 is 2  here 2 is cancelled in alphabeta

x²+ ( -4√3-√3/4)x+ 9  lcm of 4 , 1,1 is 4

4x²-√5x + 9