First Principles AI

Accedmychevron_right11thchevron_rightmathchevron_rightPartial Fractionschevron_rightExercise 5.1

Solution

Let:

\frac{3x^2-12x+11}{(x-1)(x-2)(x-3)} =\frac{A}{x-1}+\frac{B}{x-2}+\frac{C}{x-3}

Solving gives $A=1$ , $B=1$ , $C=1$ .

\boxed{\frac{3x^2-12x+11}{(x-1)(x-2)(x-3)}=\frac{1}{x-1}+\frac{1}{x-2}+\frac{1}{x-3}}