Write the degree of each polynomials given below :
`x y + 7z`

Answer

To find the degree of the polynomial \( xy + 7z \), we will follow these steps:

### Step 1: Identify the terms in the polynomial
The polynomial given is \( xy + 7z \). It consists of two terms:
1. \( xy \)
2. \( 7z \)

### Step 2: Determine the degree of each term
- For the term \( xy \):
- The degree is determined by the sum of the powers of the variables. Here, \( x \) has a power of 1 and \( y \) also has a power of 1.
- Therefore, the degree of \( xy \) is \( 1 + 1 = 2 \).

- For the term \( 7z \):
- The term \( 7z \) has only one variable \( z \) with a power of 1.
- Therefore, the degree of \( 7z \) is \( 1 \).

### Step 3: Find the highest degree among the terms
Now we compare the degrees of the two terms:
- Degree of \( xy \) = 2
- Degree of \( 7z \) = 1

The highest degree among these terms is \( 2 \).

### Conclusion
The degree of the polynomial \( xy + 7z \) is \( 2 \).

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