The quotient of (x4 + 5x3 – 3x – 15) and (x3 – 3) is a polynomial. What is the quotient?

Factor the numerator by grouping: x⁴ + 5x³ − 3x − 15 = x³(x + 5) − 3(x + 5) = (x + 5)(x³ − 3). Dividing by x³ − 3 leaves x + 5, so the quotient is choice C, x + 5.

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