Explanation:
f(x) = x³ − 8x² − 12x + 96
Factor by grouping:
f(x) = x² (x − 8) − 12 (x − 8)
f(x) = (x² − 12) (x − 8)
f(x) = (x + √12) (x − √12) (x − 8)
f(x) = (x + 2√3) (x − 2√3) (x − 8)
The roots are ±2√3 and 8.
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