Question

If $\frac{x^{3} - 6x^{2} + 10x - 2}{x^{2} - 5x + 6} = f(x) + \frac{A}{(x - 2)} + \frac{B}{(x - 3)}$, then $f(x)$ =

• A. $x - 1$
• B. $x + 1$
• C. $x$
• D. None of these

Answer 1

Answer: (A)

$x - 1$

Answer 2

$\therefore$ $f(x) = x - 1$.