Question

If the 2 zeroes of the polynomial x 4- 6x 3- 26x 2+138x -35 are 2±√3, find the others.

Answer 1

Answer:

f(x)=(x2-2)={x2-(√2)2}=(x+√2)(x-√2). ⇒x=-√2orx=√2. So, the zeros of f(x) are -√2and√2.