The degree of the polynomial `9x^(4)-7x^(2)+8x^(3)` is __________.

Answer

To find the degree of the polynomial \(9x^4 - 7x^2 + 8x^3\), we will follow these steps:

### Step-by-Step Solution:

1. **Identify the Terms of the Polynomial**:
The polynomial is \(9x^4 - 7x^2 + 8x^3\). It consists of three terms: \(9x^4\), \(-7x^2\), and \(8x^3\).

2. **Determine the Degree of Each Term**:
- The term \(9x^4\) has a degree of 4 (the exponent of \(x\)).
- The term \(-7x^2\) has a degree of 2.
- The term \(8x^3\) has a degree of 3.

3. **Find the Highest Degree**:
Now we compare the degrees of all the terms:
- Degree of \(9x^4\) = 4
- Degree of \(-7x^2\) = 2
- Degree of \(8x^3\) = 3

The highest degree among these is 4.

4. **Conclusion**:
Therefore, the degree of the polynomial \(9x^4 - 7x^2 + 8x^3\) is **4**.

### Final Answer:
The degree of the polynomial \(9x^4 - 7x^2 + 8x^3\) is **4**.

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