Inequalities with polynomials and rational expressionsAQA A-Level Further Maths: Mind map

Exam questions on Inequalities with polynomials and rational expressions

1. Let $p(x)=x^3-7x+6$.
   Solve $x^3+6<7x$.2 marks
2. Let $q(x)=x^4-5x^2+4$.
   Find the set of values of $x$ for which $\sqrt{q(x)}$ is real.2 marks
3. A cubic curve $C_1$ has equation $y=x^3-x$ and a parabola $C_2$ has equation $y=x^2-1$.
   Find the coordinates of the points where $C_1$ and $C_2$ intersect.3 marks