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x²(x + 3)⁴(x - 1) = 0
For this expression to be equal to zero, it means that at least one of the factors is equal to zero. Thus:
x² = 0
x = √0
x = 0
(x + 3)⁴ = 0
x + 3 = ∜0
x + 3 = 0
x = -3
x - 1 = 0
x = 1
The polynomial has three roots.