Question

find the degree of the polynomial.

\\x^5 + 4x^6 + 2x + 4x^8 + 4\\

the degree is \\(\square\\). (type a whole number.)

Explanation:

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<reasoning>

Identify the terms of the polynomial

Using the Degree of Polynomial knowledge point
\[
\text{Terms: } x^5,\ 4x^6,\ 2x,\ 4x^8,\ 4
\]

Determine the exponent of each term

Using the Degree of Polynomial knowledge point
\[

$$\begin{aligned} &\text{Term } x^5 \implies \text{exponent } 5\\ &\text{Term } 4x^6 \implies \text{exponent } 6\\ &\text{Term } 2x \implies \text{exponent } 1\\ &\text{Term } 4x^8 \implies \text{exponent } 8\\ &\text{Term } 4 \implies \text{exponent } 0 \end{aligned}$$

\]

Find the maximum exponent

Using the Degree of Polynomial knowledge point
\[
\max(5, 6, 1, 8, 0) = 8
\]
</reasoning>

<answer>
Find the degree of the polynomial.
\(x^5 + 4x^6 + 2x + 4x^8 + 4\)

The degree is <blank>8</blank> (Type a whole number.)
</answer>

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"Mathematics",
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Answer:

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<reasoning>

Identify the terms of the polynomial

Using the Degree of Polynomial knowledge point
\[
\text{Terms: } x^5,\ 4x^6,\ 2x,\ 4x^8,\ 4
\]

Determine the exponent of each term

Using the Degree of Polynomial knowledge point
\[

$$\begin{aligned} &\text{Term } x^5 \implies \text{exponent } 5\\ &\text{Term } 4x^6 \implies \text{exponent } 6\\ &\text{Term } 2x \implies \text{exponent } 1\\ &\text{Term } 4x^8 \implies \text{exponent } 8\\ &\text{Term } 4 \implies \text{exponent } 0 \end{aligned}$$

\]

Find the maximum exponent

Using the Degree of Polynomial knowledge point
\[
\max(5, 6, 1, 8, 0) = 8
\]
</reasoning>

<answer>
Find the degree of the polynomial.
\(x^5 + 4x^6 + 2x + 4x^8 + 4\)

The degree is <blank>8</blank> (Type a whole number.)
</answer>

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