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Hi there!
[tex]\large\boxed{x = -9, 0}[/tex]
Find the zeros using factoring:
f(x) = x³ + 9x²
Factor out the common term, or x²:
f(x) = x²(x + 9)
Set each factor equal to 0:
x² = 0
x = 0
x + 9 = 0
x = -9
The zeroes are -9, 0.