Rational Expressions (AQA A-Level Mathematics): Quizzes

Function written as $\frac{p(x)}{q(x)}$, both polynomials

Polynomial factorization

Numerator degree $\geq$ denominator degree

When expression is top-heavy

$\frac{A}{x+2} + \frac{B}{x-3}$

$\frac{A}{x+4} + \frac{B}{x-1} + \frac{C}{(x-1)^2}$

Makes terms zero to isolate constants

Common denominator

$\frac{1}{(x+1)(x-1)}$

$\frac{1}{x+1} - \frac{1}{x+3}$