Question

Match the degree to each polynomial
1. 7x^5y^3
2. -6mn^2
3. 5e^8f^3f
4.4x^7 + 3x^4 + 6x^2
Drag the tiles to arrange them in the correct order
A. 15
b. 3
c. 7
d. 8

Answer 1

To match the degree of each polynomial to the given options, we need to determine the degree of each polynomial expression:

1. **7x^5y^3**: The degree is the sum of the exponents of the variables. Here, it is \(5 + 3 = 8\).
2. **-6mn^2**: The degree is \(1 + 2 = 3\).
3. **5e^8f^3**: The degree is \(8 + 3 = 11\).
4. **4x^7 + 3x^4 + 6x^2**: The degree is determined by the highest power of \(x\), which is \(7\).

Now we can match these degrees to the options provided:

- 7x^5y^3 → Degree 8 → Match with **D**
- -6mn^2 → Degree 3 → Match with **B**
- 5e^8f^3 → Degree 11 → (Note: There's no option for 11)
- 4x^7 + 3x^4 + 6x^2 → Degree 7 → Match with **C**

However, since 5e^8f^3 is not specified in your choice, we'll just leave that out.

Thus, the correct arrangement is:
- 7x^5y^3 → **D**
- -6mn^2 → **B**
- 4x^7 + 3x^4 + 6x^2 → **C**

So the final matches are:
1 → D (8)
2 → B (3)
3 → No match (11)
4 → C (7)

If we regard the provided options A. 15, B. 3, C. 7, D. 8, the arrangement should be:

- 1. D
- 2. B
- 4. C

5e^8f^3 doesn’t fit with the given options but has a degree of 11.