Question

Hello, I need some help with this! Please show work as the instructions asked!

Answer 1

Given the perfect square trinomial:

`4x^2+20x+25`

To factor the perfect square trinomial completely, we have

`\begin{gathered} 4x^2+10x+10x+25 \\ group\text{ the terms,} \\ (4x^2+10x)+(10x+25) \\ factor\text{ out the common terms,} \\ 2x(2x+5)+5(2x+5) \\ \Rightarrow(2x+5)(2x+5) \end{gathered}`

Hence, we have

`\begin{gathered} Factor:\text{ \lparen2x+5\rparen} \\ Code\text{ piece: G} \end{gathered}`