Question

How are the constants \[\mathrm{A},\mathrm{B},\mathrm{C},\ldots\] determined in a partial-fraction decomposition?

Options

• By adding the constant of integration \[C\].

• Only by long division.

• By substituting suitable values of \[x\] or by comparing coefficients.

• By making \[Q(x)=0\].

Answer 1

After writing the decomposition, the unknown constants must be found. Suitable values of \[x\] or comparison of coefficients can determine them.