Pregunta
Find the leading coefficient of the following polynomial: \[ -7 x^{4}-3 x^{2}+3 x-6 \] Provide your answer below: ?
Ask by Fleming Stuart. in the United States
Mar 11,2025
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The leading coefficient is -7.
Solución
1. The leading coefficient is the coefficient of the term with the highest power of \(x\).
2. In the polynomial
\[
-7x^4 - 3x^2 + 3x - 6,
\]
the term with the highest degree is \(-7x^4\).
3. Therefore, the leading coefficient is \(-7\).
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The leading coefficient of a polynomial is the coefficient of the term with the highest degree. In the polynomial \( -7x^{4} - 3x^{2} + 3x - 6 \), the term with the highest degree is \( -7x^{4} \). Thus, the leading coefficient is \(-7\).
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