Question

Factor p^2 + 18p + 32.


(p + 4)(p + 8)

(p + 2)(p + 16)

(p + 16)^2

Answer 1

\(\large \begin{array}{cccllll}
p^2 &+ 18p &+ 32\\
&\uparrow &\uparrow \\
&16+2&16\cdot 2
\end{array}\)

Answer 2

Factor b^2 + 12b + 32

Answer 3

What methods of factoring are you already familiar with, KP?

I'd suggest you write p^2 + 18 p + 32 = (p + ?)(p + ?). Then, as JDoe has done, consider which factors of 32 add up to 18. OK with this?

Answer 4

So: write p^2 + 12p +32 = (p + ?)(p + ?) and consider which factors of 32 add up to 12.