classify each polynomial based on its degree and number of terms.
drag each description to the correct location. each description can be used more than once.

\begin{tabular}{|c|c|c|}
\hline
polynomial & degree & number of terms \\
\hline
x^5 + 5x^3 - 2x^2 + 3x & & \\
\hline
5 - t - 2t^4 & & \\
\hline
8y - \frac{6y^2}{7^3} & & \\
\hline
2x^3y^3 + 3 & & \\
\hline
4m - m^2 + 1 & & \\
\hline
-2g^3h & & \\
\hline
\end{tabular}

Question

classify each polynomial based on its degree and number of terms.
drag each description to the correct location. each description can be used more than once.

\begin{tabular}{|c|c|c|}
\hline
polynomial & degree & number of terms \\
\hline
x^5 + 5x^3 - 2x^2 + 3x & & \\
\hline
5 - t - 2t^4 & & \\
\hline
8y - \frac{6y^2}{7^3} & & \\
\hline
2x^3y^3 + 3 & & \\
\hline
4m - m^2 + 1 & & \\
\hline
-2g^3h & & \\
\hline
\end{tabular}

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "table_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Polynomial Degree", "Polynomial Terms" ], "current_concepts": [ "Polynomial Degree", "Polynomial Terms" ] } ## Analyze each polynomial's degree and term count $$ \begin{aligned} &\text{1. } x^5 + 5x^3 - 2x^2 + 3x: \text{highest power is } 5 \implies \text{degree } 5; \text{ terms: } x^5, 5x^3, -2x^2, 3x \implies 4 \text{ terms} \ &\text{2. } 5 - t - 2t^4: \text{highest power is } 4 \implies \text{degree } 4; \text{ terms: } 5, -t, -2t^4 \implies 3 \text{ terms} \ &\text{3. } 8y - \frac{6y^2}{7^3}: \text{highest power of variable } y \text{ is } 2 \implies \text{degree } 2; \text{ terms: } 8y, -\frac{6y^2}{7^3} \implies 2 \text{ terms} \ &\text{4. } 2x^5y^3 + 3: \text{highest term degree is } 5 + 3 = 8 \implies \text{degree } 8; \text{ terms: } 2x^5y^3, 3 \implies 2 \text{ terms} \ &\text{5. } 4m - m^2 + 1: \text{highest power is } 2 \implies \text{degree } 2; \text{ terms: } 4m, -m^2, 1 \implies 3 \text{ terms} \ &\text{6. } -2g^3h: \text{highest term degree is } 3 + 1 = 4 \implies \text{degree } 4; \text{ terms: } -2g^3h \implies 1 \text{ term} \end{aligned} $$ | Polynomial | Degree | Number of Terms | |---|---|---| | $x^5+5x^3-2x^2+3x$ | 5 | 4 | | $5-t-2t^4$ | 4 | 3 | | $8y-\frac{6y^2}{7^3}$ | 2 | 2 | | $2x^5y^3+3$ | 8 | 2 | | $4m-m^2+1$ | 2 | 3 | | $-2g^3h$ | 4 | 1 | { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Polynomial Degree" ] }

Polynomial	Degree	Number of Terms
\(5-t-2t^4\)	4	3
\(8y-\frac{6y^2}{7^3}\)	2	2
\(2x^5y^3+3\)	8	2
\(4m-m^2+1\)	2	3
\(-2g^3h\)	4	1

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QUESTION IMAGE

Question

Explanation:

Analyze each polynomial's degree and term count

Answer: