What is the quotient? x plus 5 longdiv 4 x squared plus 25 x plus 12

Divide the leading terms: 4x² ÷ x = 4x, so the first quotient term is 4x. Subtract 4x(x + 5) = 4x² + 20x from the dividend, leaving 5x + 12; then 5x ÷ x = 5. Subtract 5(x + 5) = 5x + 25, leaving a remainder of −13. Thus the quotient is 4x + 5 − 13/(x + 5), which is choice B.

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