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##### 2. Write short answers of the following questions.(ii) What is a proper fraction? .

Q.27 Partial fractions of \frac{7 x^{2}+25}{(x+3)(x+4)} will be of the form(a) \frac{A}{x+3}+\frac{B}{x+4} (b) 1+\frac{A}{x+3}+\frac{B}{x+4} (c) 7+\frac{A}{x+3}+\frac{B}{x+4} (d) none of these

Example 1: Resolve the fraction \frac{x^{3}-x^{2}+x+1}{x^{2}+5} into proper fraction.

Q.35 The fraction \frac{3}{x+1} is(b) improper fraction(a) proper fraction(d) irrational fraction

Resolve into partial fractions.5. \frac{3 x+7}{(x+3)\left(x^{2}+4\right)}

6 . $\frac{x^{2}}{(x-2)(x-1)^{2}}$

Q.28 Partial fractions of \frac{7 x+25}{(x+3)(x+4)} is of the form(a) \frac{A}{x+3}+\frac{B x}{x+4} (b) \frac{A}{x+3}+\frac{B}{x+4} (c) \frac{A x+B}{x+3}+\frac{C}{x+4} (d) \frac{A x+B}{(x+3)(x+4)} Lahore Board 2014