# First Year Math Partial Fractions

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$Resolve into partial fractions.4. \frac{x-5}{x^{2}+2 x-3}$

$2. Write short answers of the following questions.(viii) Resolve \frac{x}{(x-3)^{2}} into partial fractions:$

$Q.21 The rational fraction \frac{P(x)}{Q(x)} is a proper fraction if(a) Degree of P(x)= degree of Q(x) (b) Degree of P(x)< degree of Q(x) (c) Degree of Q(x)< degree of P(x) (d) none of these$

$Q.13 The fraction \frac{x^{2}+7 x+3}{x+1} is :(a) Improper(b) Proper-(c) Equivalent(d) Identity$

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

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