Question

if two zeroes of a polynomial f(x) = x^3 + bx^2 +cx + d are 3+root3 and 3-root3, find the third zero

Answer 1

we see that zeros of the polynomial is form of α+β and α-β

therefore, third zero absolutely will be 0

Because it is the sequence of zeros -

α+β,0,α-β

Hope it will help you