How do you factorise a simple quadratic equation?

Simple quadratic equations e.g. x2+5x + 6 = 0, can be solved by evaluating the second and third terms. Quadratic equations can be represented within two sets of brackets (x + a)(x + b). Using this template, we can identify that the second term +5(x) is equivalent to a+b and that the third term +6 is equivalent to ab. With trial and error, or simple substitution, we can solve these as simultaneous equations: a+b = 5 ab = 6to assess that x2+5x + 6 = 0 can be factorised into (x+3)(x+2).

Answered by Kendall F. Maths tutor

2181 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

The equation of Line 1 is y= 3x-2, and the equation of Line 2 is 5= 9x- 3y. Are the two lines parallel?


An object's displacement, s metres, from a fixed point after t seconds is s=5t^3+t^2. Find expressions for the object's velocity and acceleration at time t seconds.


Make y the subject of the formula x=(2y-1)/(4-y)


Expand and simplify (x-5)(3x+3)


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences