Factorising quadratics with leading coefficient not 1IB MYP Maths Extended: Mind map

Exam questions on Factorising quadratics with leading coefficient not 1

1. Consider the quadratic equation $6x^2+7x-3=0$.
   Solve the equation, using your factorised form.2 marks
2. A rectangular garden has area $(2x^2+5x-12)$ m$^2$ and length $(x+4)$ m, where $x>0$.
   Find the perimeter of the garden when the area is $63$ m$^2$.2 marks
3. A ball is thrown upwards from a platform. Its height above the ground, $h$ metres, after $t$ seconds is modelled by $h=12+4t-5t^2$, for $t\geq0$.
   Find the time at which the ball hits the ground, by factorising.3 marks