Question

What numerator should be used for each distinct linear factor in a partial-fraction decomposition?

विकल्प

• A zero numerator only.

• A constant numerator such as \[\mathrm{A}\], \[\mathrm{B}\], or \[\mathrm{C}\].

• A quadratic numerator of the form \[\mathrm{A}x^{2}+\mathrm{B}x+\mathrm{C}\].

• A linear numerator of the form \[\mathrm{B}x+\mathrm{C}\] in every case.

Answer 1

Each distinct linear factor receives a constant numerator. Typical constants are \[\mathrm{A}\], \[\mathrm{B}\], and \[\mathrm{C}\].