Identifying Polynomials worksheet for students to determine the degree of each polynomial expression.

I'll work through each polynomial to identify the degree. The degree of a polynomial is the highest exponent (power) of any variable in the expression.

Let me analyze each one:

1) s + k - n - r - p + z
- All variables have an implied exponent of 1
- Highest exponent: 1
- Degree: 1

2) -3qx - 8h
- qx has exponent 1 on q and 1 on x, so total degree = 1 + 1 = 2
- h has exponent 1
- Highest exponent: 2
- Degree: 2

3) -9hd⁶h
- This can be written as -9h²d⁶
- h has exponent 2
- d has exponent 6
- Total degree = 2 + 6 = 8
- Degree: 8

4) -z + d - n + c
- All variables have exponent 1
- Highest exponent: 1
- Degree: 1

5) -cx - 7r
- cx has exponent 1 on c and 1 on x, so total degree = 1 + 1 = 2
- r has exponent 1
- Highest exponent: 2
- Degree: 2

6) -z
- z has exponent 1
- Degree: 1

7) -4r⁶c⁵ - 7n³
- First term: r⁶c has degree = 6 + 5 = 11
- Second term: n³ has degree = 3
- Highest exponent: 11
- Degree: 11

8) -7ks³ - 6b⁴
- First term: ks³ has degree = 1 + 3 = 4
- Second term: b⁴ has degree = 4
- Highest exponent: 4
- Degree: 4

9) k - c - q
- All variables have exponent 1
- Highest exponent: 1
- Degree: 1

10) -8q⁶h³r⁴ + 9s⁷ + 4n²d⁶ + 5d⁴b⁶
- First term: q⁶h³r has degree = 6 + 3 + 4 = 13
- Second term: s⁷ has degree = 7
- Third term: n²d⁶ has degree = 2 + 6 = 8
- Fourth term: d⁴b⁶ has degree = 4 + 6 = 10
- Highest exponent: 13
- Degree: 13

Final Answer:
1) 1
2) 2
3) 8
4) 1
5) 2
6) 1
7) 11
8) 4
9) 1
10) 13