Question

If \[ \frac{3x-1}{(x-1)(x-2)(x-3)} = \frac{A}{x-1} + \frac{B}{x-2} + \frac{C}{x-3}, \] then the values of \((A,B,C)\) are

• A. \((1,-5,4)\)
• B. \((1,5,4)\)
• C. \((4,5,1)\)
• D. \((1,4,5)\)

Hint:

For partial fractions with linear factors, substitute the roots of the denominator factors to find constants quickly.

Answer 1

The Correct Option is A