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Drag each label to the correct location on the table. Each label can be used more than once, but not all labels will be used.
Complete the table by classifying the polynomials by degree and number of terms.

Labels: trinomial, binomial, constant, linear, monomial, quadratic, exponential

\begin{tabular}{|c|c|c|}
\hline
Polynomial & \begin{tabular}{c}
Name Using \\
Degree
\end{tabular} & \begin{tabular}{c}
Name Using \\
Number of Terms
\end{tabular} \\
\hline
[tex]$2x^2$[/tex] & quadratic & monomial \\
\hline
[tex]$-2$[/tex] & constant & monomial \\
\hline
[tex]$3x - 9$[/tex] & linear & binomial \\
\hline
[tex]$-3x^2 - 6x + 9$[/tex] & quadratic & trinomial \\
\hline
\end{tabular}



Answer :

GinnyAnswer
Certainly! Let's classify each polynomial by its degree and the number of terms it contains.

1. [tex]\(2x^2\)[/tex]:
- Degree: This is a quadratic polynomial because the highest power of [tex]\(x\)[/tex] is 2.
- Number of Terms: It has one term, so it is a monomial.

2. \-2:
- Degree: This is a constant polynomial because it does not contain any variable [tex]\(x\)[/tex].
- Number of Terms: It has one term, so it is a monomial.

3. [tex]\(3x - 9\)[/tex]:
- Degree: This is a linear polynomial because the highest power of [tex]\(x\)[/tex] is 1.
- Number of Terms: It has two terms, so it is a binomial.

4. [tex]\(-3x^2 - 6x + 9\)[/tex]:
- Degree: This is a quadratic polynomial because the highest power of [tex]\(x\)[/tex] is 2.
- Number of Terms: It has three terms, so it is a trinomial.

Now, placing these in the table:

[tex]\[ \begin{tabular}{|c|c|c|} \hline Polynominal & \begin{tabular}{c} Name Using \\ Degree \end{tabular} & \begin{tabular}{c} Name Using \\ Number of Terms \end{tabular} \\ \hline $2x^2$ & quadratic & monomial \\ \hline -2 & constant & monomial \\ \hline $3x - 9$ & linear & binomial \\ \hline $-3x^2 - 6x + 9$ & quadratic & trinomial \\ \hline \end{tabular} \][/tex]

In summary:
- [tex]\(2x^2\)[/tex] is a quadratic monomial.
- [tex]\(-2\)[/tex] is a constant monomial.
- [tex]\(3x - 9\)[/tex] is a linear binomial.
- [tex]\(-3x^2 - 6x + 9\)[/tex] is a quadratic trinomial.

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