Question

obtain all the zeroes of the polynomialx^4-3√2x^3+3x^2+3√2x-4 if two of its zeroes are root 2 and 2root2

Answer 1

x^4-x^2-3root2x^3+3root2x +4x^2-4
(x+1)(x-1)(x-root 2)(x -2 root 2)