What is the correct form of the partial fraction decomposition for the fraction with numerator 35 minus 27 x and denominator 4 x squared plus 28 x ?

Factor the denominator: 4x² + 28x = 4x(x + 7). Since it has two distinct linear factors, the partial fraction form uses a constant numerator over each factor: A/(4x) + B/(x + 7). This matches choice D.

AI-written and checked against the verified answer.