What is the quotient? x plus 5 longdiv 3 x squared plus 4 x plus 5

Divide the leading terms: 3x² ÷ x = 3x. Multiplying (x + 5)(3x) gives 3x² + 15x; subtracting leaves −11x + 5. Then −11x ÷ x = −11, and subtracting (x + 5)(−11) = −11x − 55 leaves a remainder of 60. So the result is 3x − 11 + 60/(x + 5), which is choice A.

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