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help with factoring?precalc?

the question is find all zeros of f(x)=X^4-5x^2-10x-6

i ofund -1, and 3 are the zeros.

(x+1)(x^3-x^2-4x-6)

(x-3)(x^3+3x^2+4x+2)

my question is how do i leave the answer.. do i factor further, and how would i factor that to prove that they are zeros?

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