Question

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

Answer 1

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.