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

What these 14 flashcards ask

Method to factorise ax^2+bx+c when a\neq1?
Factorise 2x^2+7x+3.
Factorise 6x^2+7x-3.
Factorise 9x^2-16.
What should you check for first when factorising?
State the zero product rule.
Solve (2x-1)(x+5)=0.
State the quadratic formula.
What is the discriminant?
What does a positive discriminant tell you?
What does a negative discriminant tell you?
What does a perfect-square discriminant tell you?
Why must the equation equal 0 before you factorise and solve?
A quadratic gives a negative time as one solution. What do you do?

Exam questions on Factorising quadratics with leading coefficient not 1

Consider the quadratic equation $6x^2+7x-3=0$ .
Solve the equation, using your factorised form.2 marks
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
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

Written by the Exaim team, led by Shaun Daswani (Head of Upper Secondary, Improve ME Institute; MSc Financial Mathematics, Imperial College London; BSc, UCL) and Jason Daswani (operational lead, Improve ME Institute; LSE).