Rational Expressions (Edexcel A-Level Mathematics): Quizzes

$\frac{p(x)}{q(x)}$ where $p,q$ are polynomials

When numerator degree $\geq$ denominator

$\frac{3x+1}{2x}$

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

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

$x=3$

$\frac{7x-1}{(x+2)(x-3)}$

$(x+1)(x+3)$

$A=4$

Quotient $3$, remainder $5x-4$