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.

CS
Answered by Charlotte S. Maths tutor

2295 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Solve y = 2x^2 - 5x - 1 for x = -1 and x = 2


what is half of five-eights as a percentage?


Max invests £2000 and gets 2.5% compound interest per year. Jade invests £1600 and gets 3.5% compound interest per year. Work out who will get the most interest by the end of 3 years.


How do you calculate the sine, cosine and tangent values for 45 degrees without a calculator?


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