Question

find the degree of the polynomial.

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

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
\[
\text{Terms: } 6x^4,\quad 4x^2,\quad -5
\]

Determine the degree of each term

Using the Degree of Polynomial knowledge point
\[

$$\begin{aligned} &\text{Degree of } 6x^4 \text{ is } 4\\ &\text{Degree of } 4x^2 \text{ is } 2\\ &\text{Degree of } -5 \text{ is } 0 \end{aligned}$$

\]

Find the highest degree

Using the Degree of Polynomial knowledge point
\[
\text{Maximum}(4, 2, 0) = 4
\]
</reasoning>

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

The degree is <blank>4</blank>. (Type a whole number.)
</answer>

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Answer:

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<reasoning>

Identify the terms of the polynomial

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

Determine the degree of each term

Using the Degree of Polynomial knowledge point
\[

$$\begin{aligned} &\text{Degree of } 6x^4 \text{ is } 4\\ &\text{Degree of } 4x^2 \text{ is } 2\\ &\text{Degree of } -5 \text{ is } 0 \end{aligned}$$

\]

Find the highest degree

Using the Degree of Polynomial knowledge point
\[
\text{Maximum}(4, 2, 0) = 4
\]
</reasoning>

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

The degree is <blank>4</blank>. (Type a whole number.)
</answer>

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