What is the completely factored form of x2y – 2xy – 24y?

First, factor out the common factor y: x²y − 2xy − 24y = y(x² − 2x − 24). The quadratic factors as (x + 4)(x − 6), since 4 × (−6) = −24 and 4 + (−6) = −2. So the completely factored form is y(x + 4)(x − 6), choice C.

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