Rational expressions and algebraic divisionAQA A-Level Maths: Mind map

Exam questions on Rational expressions and algebraic division

1. Let $R(x)=\dfrac{x^2-9}{x^2+x-12}$.
   Solve $R(x)=2$.2 marks
2. Let $S(x)=\dfrac{2}{x+1}+\dfrac{3}{x-2}$.
   Find the exact values of $x$ for which $S(x)=1$.2 marks
3. Let $E(x)=\dfrac{x^2+2x-15}{x^2-4x+3}\div\dfrac{x+5}{x^2-1}$.
   Show that $E(x)$ simplifies to $x+1$.3 marks