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

5554 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Find the roots of this equation: y=(8-x)lnx


Use the substitution u=3+(x+4)^1/2 to find the integral of 1/(3+(x+4)^1/2) dx between 0 and 5.


Differentiate y= exp(cos^2(x)+sin^2(x)) by using the chain rule.


How do I solve equations with modulus functions on both sides?


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