Find all the real zeros of the polynomial

Question

Find all the real zeros of the polynomial

x⁴-x³-7x²+x+6

real zeros:

Give your answer as a comma-separated list

Answer 1

x^4 -x^3 -7x^2 +x + 6 =

(x-1)(x+1)(x^2-x-1)

-1,1,1/2+(5)^1/2, 1/2-(5)^1/2

x-1=0

x+1=0

x=-1, 1

then solve x^2-x+1 to get x. You get 2 conjugates, 1/2 plus and minus about 2.2