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

A root occurs when one of the factors is zero. The factor (x − 6)² is zero at x = 6, and its exponent gives that root multiplicity 2; the factor (x + 2)² is zero at x = −2, also with multiplicity 2. Therefore, the correct choices are 6 with multiplicity 2 and −2 with multiplicity 2.

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