Help with factoring a 5th degree polynomial?? (pre-calculus)?

Dan

New member
I need to factor this polynomial in order to find the zeros:

f(x) = x^5 - 3x^3 - x^2 - 4x - 1

my book shows it factored down to this:

f(x) = (x^2 + 1)(x^3 - 4x - 1)

I don't understand how they got to that, nor how to solve for the zeros. (neither steps are shown in the book)
 
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