CAIE: A Level - Mathematics 9709 - Pure Mathematics 3

Partial Fractions and Binomial Expansions / Partial Fractions / Degree of Numerator Equal to Denominator

KEYPOINTS:

Improper Algebraic Fractions with linear factors in the denominator

\(\frac{ax^2}{(x+p)(x+q)} ≡ A + \frac{B}{x+p} + \frac{C}{x+q}\)

Improper Algebraic Fractions with repeated factor in the denominator

\(\frac{ax^3}{(x+p)(x+q)^2} ≡ A + \frac{B}{x+p} + \frac{C}{x+q} + \frac{D}{(x+q)^2}\)

Improper Algebraic Fractions with quadratic factor in the denominator

\(\frac{ax^3}{(x+p)(x^2+q)} ≡ A + \frac{B}{x+p} + \frac{Cx+D}{x^2+q}\)

Past Papers Topic Wise Questions A Level: Mathematics 9709 - Pure Mathematics 3 Partial Fractions and Binomial Expansions | Partial Fractions

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