match the leading coefficient to each polynomial

-30x^5 - 4x^8 + 2x
14x^6 + 3x^8 + 6x^3
23m^3 - 15m^2 + 94m^4
drag rhe tiles to arrrange them in the correct order
A. 94m^9 + 23m^3 -23m^3 -15m^2
B. -4
C. 3

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
12 days ago

To match the leading coefficient to each polynomial, we need to identify the leading term from each polynomial (the term with the highest degree) and determine its coefficient.

1. **Polynomial: -30x^5 - 4x^8 + 2x**
- The leading term here is **-4x^8** (since it has the highest degree of 8).
- **Leading coefficient: -4** (Answer B).

2. **Polynomial: 14x^6 + 3x^8 + 6x^3**
- The leading term is **3x^8** (highest degree of 8).
- **Leading coefficient: 3** (Answer C).

3. **Polynomial: 23m^3 - 15m^2 + 94m^4**
- The leading term is **94m^4** (highest degree of 4).
- **Leading coefficient: 94**.

Now let's match the leading coefficients to the letters given:

- **-30x^5 - 4x^8 + 2x**: Leading coefficient is **-4** (B)
- **14x^6 + 3x^8 + 6x^3**: Leading coefficient is **3** (C)
- **23m^3 - 15m^2 + 94m^4**: Leading coefficient is **94**. Since there isn’t a corresponding letter for 94, it seems the options given may not include the leading coefficient we determined for this polynomial.

To summarize:
- Match for **-30x^5 - 4x^8 + 2x** is **B (-4)**.
- Match for **14x^6 + 3x^8 + 6x^3** is **C (3)**.

If we had expected a match for **94**, an option corresponding to it was not provided in your list. Thus, B and C are matched correctly based on what is supplied.