Question
What are the leading coefficient and degree of the polynomial? \[ 23 x^{8}-x^{6}-2-12 x^{4} \] Leading coefficient: \( \square \) Degree: \( \square \)
Ask by Nichols Chambers. in the United States
Mar 08,2025
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Answer
Leading coefficient: 23
Degree: 8
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The leading coefficient of the polynomial \( 23 x^{8} - x^{6} - 2 - 12 x^{4} \) is \( 23 \), since it is the coefficient of the term with the highest power, which is \( x^{8} \). The degree of the polynomial is \( 8 \) because that is the highest exponent present in the expression. So, in summary: Leading coefficient: \( 23 \) Degree: \( 8 \)