Question

Find the quadratic polynomial whose sum of zeros is 0 and product of zers is -4root3

Answer 1

Here let two zeroes are a and b.
a+b=0
ab= - 4 root 3
quadratic polynomial =x square - (a+b) x+ab
=x square - 4 root 3

Answer 2

METHOD 1
k(x^2 - sum x + product )
=>k[x^2 -0x + (-4root3)]
=> k(x^2-0 -4root3)
=> k(x^2-4root 3)
METHOD 2 is in the attachment