Quadratic functions and the discriminantEdexcel A-Level Maths: Mind map

Exam questions on Quadratic functions and the discriminant

1. Consider the equation $x^2+kx+16=0$, where $k$ is a constant.
   Find the set of values of $k$ for which the equation has two distinct real roots.2 marks
2. The function $f$ is defined by $f(x)=2x^2-12x+7$ for $x\in\mathbb{R}$.
   Hence solve $f(x)=0$, giving your answers in exact form.2 marks
3. Consider the equation $x^2+px+(p+3)=0$, where $p$ is a constant.
   Find the set of values of $p$ for which the equation has real roots.3 marks