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

4991 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Find the stationary points of the curve given by the following function: f(x) = x^2 + 5x + 2


Express X/((X+1)(X+2)) in partial fractions. OCR C4 style question


How do I differentiate (cosx)/x^2


The point A lies on the curve with equation y = x^(1/2). The tangent to this curve at A is parallel to the line 3y-2x=1. Find an equation of this tangent at A. (PP JUNE 2015 AQA)  


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:

© 2025 by IXL Learning