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

31194 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

When using trigonometry to calculate side lengths/angles, how do you know which identity to use?


Solve the inequality 2x - 10 < 6 - 2x


Make y the subject of the equation: t=(y+2)/(4-y)


Find the inverse of the function f(x) =2x-7.


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