Find the root(s) of f (x) = (x- 6)2(x + 2)2.

Set each factor equal to zero: (x − 6)² = 0 gives x = 6, and (x + 2)² = 0 gives x = −2. Each factor is squared, so both roots have multiplicity 2: 6 with multiplicity 2 and −2 with multiplicity 2.

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