Show that x^2 +6x+ 11 can be written as (x+p)^2 +q

x2 +6x +11this is a quadratic so we try to factorise it. x2 +6x can be turned into (x+3)2 -9 and we plus the 11 from the beginning so the final answer should look like (x+3)2 +2 and thus p=3 and q=2.

AM
Answered by Abdullahi M. Maths tutor

5433 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

What is the gradient of this curve y=5x^3+6x^2+7x+8 at point x=3?


How do you intergrate a function?


Integration question 1 - C1 2016 edexcel


Express 1/(1+2x)(1-x) in partial fractions


We're here to help

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

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning