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