Answered

To determine how many chickens can be kept in the new coop, Jessica needs to know the volume of the chicken coop.

Find the volume of the chicken coop. Then select the terms that appear in the simplified polynomial representing the volume.

Select the correct terms in the table.

[tex]\[
\begin{tabular}{|c|c|c|}
\hline
$108c^2d$ & $-90cd$ & $-30c^2$ \\
\hline
$216d^3$ & $168c^3d$ & $56c^3$ \\
\hline
\end{tabular}
\][/tex]



Answer :

GinnyAnswer
Let's break down the given polynomial terms representing the volume of the chicken coop. Here are the terms we need to consider:

1. [tex]\( 108 c^2 d \)[/tex]
2. [tex]\( -90 c d \)[/tex]
3. [tex]\( -30 c^2 \)[/tex]
4. [tex]\( 216 d^3 \)[/tex]
5. [tex]\( 168 c^3 d \)[/tex]
6. [tex]\( 56 c^3 \)[/tex]

These terms, individually, are part of the polynomial that could represent the volume of the chicken coop. Now, let's identify these terms in the context of a simplified polynomial representation.

The simplified polynomial includes all the original terms provided:
- [tex]\( 108 c^2 d \)[/tex]
- [tex]\( -90 c d \)[/tex]
- [tex]\( -30 c^2 \)[/tex]
- [tex]\( 216 d^3 \)[/tex]
- [tex]\( 168 c^3 d \)[/tex]
- [tex]\( 56 c^3 \)[/tex]

Therefore, all the terms listed in the table appear in the simplified polynomial representing the volume of the chicken coop.