Rational expressionsEdexcel A-Level Maths: Mind map

Exam questions on Rational expressions

1. The expression $\frac{x^2-9}{x^2+x-6}$ is defined for all real $x$ except where the denominator is zero.
   Hence write $\frac{x^2-9}{x^2+x-6}$ in the form $A+\frac{B}{x-2}$, where $A$ and $B$ are constants.2 marks
2. The expression $\frac{x^3+8}{x^2-4}$ is considered for values of $x$ where it is defined.
   Hence write $\frac{x^3+8}{x^2-4}$ in the form $x+\frac{k}{x-2}$, where $k$ is a constant.2 marks
3. The function $f(x)=\frac{3x^2+x-2}{2x^2-x-3}$ is defined for all real $x$ except where its denominator is zero.
   Simplify $f(x)$.3 marks