Find the roots of the equation (x^2+5x+4)/(x^2-3x+2)

Finding the root means finding the solution when the equation is equal to zero, so when (x^2+5x+4)/(x^2-3x+2)=0. This happens when the numerator x^2+5x+4 is equal to zero so we have to find the roots. To do this, we have to factorise x^2+5x+4 which we do by thinking what two numbers when added together equal 5 and when multiplied together equal 4, which is 4 and 1. This means that x^2+5x+4=(x+1)(x+4) which we can confirm by expanding (x+1)(x+4) using the FOIL method. This means that (x+1)(x+4)=0 which occurs when x=-1 or x=-4, and these are the roots to the original equation given in the question.

Answered by Charlotte S. Maths tutor

2244 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Make d the subject of the formula: 3d + dxy = 4


y^2-64


Prove algebraically that the difference between the squares of any two consecutive odd numbers is always a multiple of 8


Solve the inequality 4m +3 > 15


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