Question

Find the cubic polynomial whose zeroes are −√3 , √3 , 2

Answer 1

x³ -2x²-3x+6 this is required equation I'm just use simplest given information that is the 2 is zero it means X - 2 will be a factor and x square - 3 will also be a factor will give you both the roots plus minus root 3 so when you will multiply this you will get this equation simple

Answer 2

If -√3, √3 and 2 are the zeros of the polynomial then the polynomial will be in the form of 
=[x+√3][x-√3][x-2]
=[x+√3][x²+(2-√3)x+2√3]
=x³+2x²+(4√3-3)x+6