f(x) = x^2 + 4x − 6 f(x) can be written in the form (x + m)^2 + n. Find the value of m and the value of n.

Because we know (x+m)^2 expanded will provide x^2+2mx+m^2 and we have the extra addition of a value named n we can strictly focus on ensuring the expansion yields x^2+4x and deal with the -6 value by using n. Thus, by putting m as 2 we get x^2+4x+4, and following through to achieve -6 instead of 4, we put n as -10, and so we get the desired answer.

MG
Answered by Majed G. Maths tutor

9529 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Solve for simultaneous equations x +5y =9 and 3x + 2y =5.


v^2=u^2 + 2as u=12 a=-3 s = 18 Find v


There are only 7 blue pens, 4 green pens and 6 red pens in a box. One pen is taken at random from the box. Write down the probability that this pen is blue.


Expand and simplify 5(x+4)-3(2+3x)


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