Pregunta
What are the leading coefficient and degree of the polynomial? \[ \begin{array}{l}12 x-15 x^{6}+5 x^{4}-2 x^{7} \\ \text { Leading coefficient: } \\ \text { Degree: } \square\end{array} \]
Ask by Christensen Peterson. in the United States
Mar 08,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
Leading coefficient: -2
Degree: 7
Solución
1. Write the polynomial in standard form, arranging the terms in descending order of the exponent:
\[
-2x^{7} - 15x^{6} + 5x^{4} + 12x
\]
2. The degree of a polynomial is the highest exponent of \( x \) that appears in the polynomial. In this case, the highest exponent is \( 7 \).
3. The leading coefficient is the coefficient of the term with the highest power. Here, the term is \(-2x^{7}\), so the leading coefficient is \(-2\).
\[
\text{Leading coefficient: } -2
\]
\[
\text{Degree: } 7
\]
Respondido por UpStudy AI y revisado por un tutor profesional
Como
error msg


Beyond the Answer
To determine the leading coefficient and degree of the polynomial \( -2x^7 - 15x^6 + 5x^4 + 12x \), we need to identify the term with the highest exponent. In this case, the term \( -2x^7 \) has the highest exponent of 7. Leading coefficient: -2 Degree: 7

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