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Thanks a ton, could you expand a little bit if possible on how that relates to the polynomial above.

what you have done is correct
x^5-81x= x((x-3)(x+3)(x+3i)(x-3i))
so zeros are 0,3,-3,3i,-3i

all the steps are correct, which step u have doubt in particular ?

The need for all the parenthesis in the final step.

yes, that paranthesis is needed
x(x^4+81) must be there.

Will you expand on that a little. I still feel stuck for some reason.

Its not quite clear. I understand the difference now between -1(3+10) and -1(3*10)

Oh thanks that make a lot of sense.

glad i could clear it :)