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 determine the degree of each polynomial, we need to sum the exponents of the variables in each term.

1. **7x^5y^3**: The degree is \(5 + 3 = 8\).
2. **-6mn^2**: The degree is \(1 + 2 = 3\).
3. **5e^8f^3f**: Here, we interpret \(f\) as \(f^1\), so the degree is \(8 + 3 + 1 = 12\).
4. **4x^7 + 3x^4 + 6x^2**: The degree is the highest exponent, which is \(7\).

Now, let's match these degrees to the given options:

- **7x^5y^3** corresponds to degree **d (8)**.
- **-6mn^2** corresponds to degree **b (3)**.
- **5e^8f^3f** corresponds to degree **A (12)**.
- **4x^7 + 3x^4 + 6x^2** corresponds to degree **c (7)**.

So, the correct order is:

1. 7x^5y^3 - d (8)
2. -6mn^2 - b (3)
3. 5e^8f^3f - A (12)
4. 4x^7 + 3x^4 + 6x^2 - c (7)