Express '2x^2 + 8x + 30' in the form 'a(x+b)^2 + c'

b = B/2A = 8/(2x2) =8/4 = 2
c = C-((B^2)/4A) = 30-((8^2)/(4x2)) = 30-64/8 = 30-8 = 22
=> 2x^2 + 8x + 30 = 2(x+2)^2 + 22

CC
Answered by Charles C. Maths tutor

4476 Views

See similar Maths Scottish Highers tutors

Related Maths Scottish Highers answers

All answers ▸

Why is the gradient of a curve at a point the same as the gradient of the tangent if you can't use gradient formula on a curve?


Solve algebraically the following system of equations: 4x + 5y = -3; 6x - 2y = 5


Show that (𝑥 − 1) is a factor of 𝑓(𝑥)=2𝑥^3 + 𝑥^2 − 8𝑥+ 5. Hence fully factorise 𝑓(𝑥) fully.


Find the stationery points of x^3 + 3x^2 - 24x + 7 and determine whether the slope is increasing or decreasing at x=3.


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