Question

Part 1: Explain, in complete sentences, whether or not the expression x2 + 24x + 144 fits one of the special patterns. If so, which one? (2 points)

Part 2: Explain how the polynomial is factored. (2 points)

Part 3: Provide the factors. (2 points)

Answer 1

24x = 12x + 12x
\[x^2 + 24x + 144 \]
\[x^2 + 12x + 12x + 144\]
\[(x+12)(x+12)\]

Answer 2

\[(x+12)^2\]