Pregunta
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
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
Leading coefficient: 23
Degree: 8
Solución
Let the polynomial be
\[
23x^{8}-x^{6}-2-12x^{4}.
\]
**Step 1.** Rewrite the polynomial in standard form (arranging terms in descending order by power):
\[
23x^8 - x^6 - 12x^4 - 2.
\]
**Step 2.** Identify the term with the highest exponent. The highest exponent here is \(8\) from the term \(23x^8\).
**Step 3.** The leading coefficient is the coefficient of the highest degree term. In this case, the leading coefficient is \(23\).
**Answer.**
Leading coefficient: \(23\)
Degree: \(8\)
Respondido por UpStudy AI y revisado por un tutor profesional
Como
error msg


Beyond the Answer
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: \( 8 \)

¡Prueba Premium ahora!
¡Prueba Premium y hazle a Thoth AI preguntas de matemáticas ilimitadas ahora!
Quizas mas tarde
Hazte Premium