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Find all rational zeros of the polynomial

find all rational zeros of the polynomial 
P(x)=x4-2x3-6x2-4x-16
its rational zeros are 
x1=
x2=
x3=
x4=
with x1≤x2≤x3≤x4
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1 Answer

Dalia,
 
There are two and only two rational zeros of this polynomial: x = -2 and x = 4. To these we may also add
x= ±√2i but I don't interpret the question of having asked for imaginary roots.