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

2448 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Sketch the graph of y = 5 - 7x


At a football game number of men : number of women : number of children = 13 : 5 : 7 There are 4152 more men than women. Work out the number of children at the game.


Anna and Lionel share $675 in the ratio 4 : 5 Lionel gives 3 5 of his share of the money to his mother. How much money does Lionel give to his mother?


Solve y = x^2 + 3x + 2 = 0


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences