Accedmychevron_right11thchevron_rightmathchevron_rightPartial Fractionschevron_rightExercise 5.1

Case: (xa)(xb)(xc)(x-a)(x-b)(x-c)

If the denominator factors into distinct linear factors, use:

P(x)(xa)(xb)(xc)=Axa+Bxb+Cxc\frac{P(x)}{(x-a)(x-b)(x-c)}=\frac{A}{x-a}+\frac{B}{x-b}+\frac{C}{x-c}

Find constants by clearing denominators and substituting x=a,b,cx=a,b,c (or comparing coefficients).