How to factorise x^2 + 6x +5

Firstly you check to see if there is a coefficient to the x2 term, in this example there isn't so we know that both the brackets will have a single x in, (x +  )(x +  ). We also know both the signs in the brackets are positive because all the terms in the initial question are positive. Now all we need to do is find two numbers that multiply together to get 5 and add together to get 6, here the obvious answer is 5 and 1. 5x1=5 as wanted and 5+1=6 as wanted. Therefore the final answer will be; x2 + 6x + 5 = (x+5)(x+1). You can also check your answer by multiplying out the brackets which will get you x2 + 5x + 1x + 5 = x2 + 6x + 5 as wanted.

Answered by Fred E. Maths tutor

31171 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Factorise 3x^2 + 15x


Simplify fully the fraction (a^2 + a − 6)/ (ab+3b)


Solve the following simultaneous equations: 3x + y = 11 2x + y = 8


Jay, Sheila and Harry share £7200 in the ratio 1 : 2 : 5. How much does Harry receive?


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