Using the Completed Square Form

Match the form named in the question. The square is the same; only the final arrangement changes. Letters in the requested form stand for constants you must find; match their positions, not their names.

Express $4x^2-24x+p$ in the form $a(x+b)^2+c$, where $a$ and $b$ are integers and $c$ is given in terms of $p$.

The letter $p$ changes nothing. Carry it along like any other constant.

Reuse the completed square. Undo a square with $\pm\sqrt{\ }$ and keep the answer exact when asked.

Complete the square once, then reuse the result in every part.