Got a math sum I'm working on thats troubling me.
$\displaystyle {x}^{2} + 4x - 8$ can be written in the form $\displaystyle {(x + p)}^{2} + q $
Find the values of $\displaystyle p$ and $\displaystyle q$
You have two options, both require that you have the necessary knowledge and understanding.
Option 1: Complete the square for x^2 + 4x - 8 and compare with (x + p)^2 + q.
Option 2: Expand (x + p)^2 + q and equate the coefficients of the various powers of x with the corresponding coefficients in x^2 + 4x - 8.