The area of a rectangle is (x3 – 5x2 + 3x – 15), and the width of the rectangle is (x2 + 3). If area = length × width, what is the length of the rectangle?

The length is the area divided by the width: (x³ − 5x² + 3x − 15) ÷ (x² + 3). Factor the area by grouping: x²(x − 5) + 3(x − 5) = (x² + 3)(x − 5). Dividing by the width x² + 3 leaves x − 5, so the length is choice D.

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