Acceso
Prima
Hogar Banco de preguntas Matemáticas Álgebra
Pregunta

Determine the leading coefficient in the polynomial \( -4x^{4} + x^{2} - 6 \).

Ask by Hobbs Fernandez. in South Africa
Jan 26,2025

Solución de tutoría real

Respuesta verificada por el tutor

Responder

The leading coefficient is \(-4\).

Solución

The leading coefficient of a polynomial is the coefficient of the term with the highest degree (the highest power of \( x \)). Given the polynomial: \[ -4x^{4} + x^{2} - 6 \] 1. **Identify the highest power of \( x \):** - The exponents of \( x \) are 4, 2, and 0 (for the constant term \(-6\)). - The highest power is **4**. 2. **Determine the coefficient of the highest power term:** - The term with \( x^4 \) is \(-4x^4\). - The coefficient is **\(-4\)**. **Answer:** \(-4\)

Revisado y aprobado por el equipo de tutoría de UpStudy

error msg
Explicar
Simplifique esta solución

Mind Expander

The leading coefficient of a polynomial is the coefficient of the term with the highest degree. In the polynomial \( -4x^{4} + x^{2} - 6 \), the term with the highest degree is \( -4x^{4} \). Thus, the leading coefficient is \( -4 \). So, the leading coefficient in the polynomial \( -4x^{4} + x^{2} - 6 \) is \( -4 \).

preguntas relacionadas

4) Match each equation with the problem it represents. (4)) 4 more than the product of 9 and a number is 36 . (4)) 9 times the sum of a number and 4 is 36 . 4 times the sum of a number and 9 is 36 . (4) 9 subtracted from the product of 4 and a number is 36 . (4) \( 9 n+4=36 \) (n+4) \( =36 \) (n) (n)
Álgebra United States Jan 27, 2025
MATHEMAT (PAPER 1) QUESTION 1 1.1 Given: \( 2 k=(x-5)(x-k) \), determine: 1.1.1 \( k \) if \( x=2 \) 1.1.2 \( x \) if \( k=2 \) 1.2 Solve for \( x \) : 1.2.1 \( 2 x^{2}+3=8 x \) (correct to TWO decimal places) 1.2.2 \( \sqrt{2(x+10)}-10=x-12 \) 1.2.3 \( 3^{x}(x-5)<0 \) 1.3 Solve the following equations simultaneously: \[ \sqrt{3^{x}} \cdot 9^{y}=27 \quad \text { and } \quad x+4 y^{2}=6 \]
Álgebra South Africa Jan 27, 2025
Simplify the expression. \[ \sqrt{\frac{196}{256 d^{2}}} \]
Álgebra United States Jan 27, 2025
Rewrite the following as a radical expression................................................... \[ \left(2 x^{4}\right)^{1 / 5} \]
Álgebra United States Jan 27, 2025
A saion sells its cologne wholesale for \( \$ 8.75 \) per bottle. The variable costs of producing \( x \) hundred botties is \( -3 x^{2}+348 x-325 \) dollars, and the fixed costs for manufacturing are \( \$ 25,000 \). Find expressions for the revenue, cost, and profit from selling \( x \) hundred items. 0.33 of 1 Which expression represents revenue? \( \begin{array}{ll}\text { A. } R=875 x & \text { B. } R=8750 x \\ \text { C. } R=8.75 x & \text { D. } R=8.75 x+25,000 \\ \text { Which expression represents cost? } & \text { B. } C=-3 x^{2}+348 x+25,000 \\ \text { A. } C=-3 x^{2}-348 x-24,675 & \text { D. } C=-3 x^{2}+348 x+24,675 \\ \text { C. } C=875 x-25,000 x & \end{array} \)
Álgebra United States Jan 27, 2025

Latest Algebra Questions

Rewrite the following as a radical expression................................................... \[ \left(2 x^{4}\right)^{1 / 5} \]
Álgebra United States Jan 27, 2025
4) Match each equation with the problem it represents. (4)) 4 more than the product of 9 and a number is 36 . (4)) 9 times the sum of a number and 4 is 36 . 4 times the sum of a number and 9 is 36 . (4) 9 subtracted from the product of 4 and a number is 36 . (4) \( 9 n+4=36 \) (n+4) \( =36 \) (n) (n)
Álgebra United States Jan 27, 2025
What is the solution to the following system of equations? \( \left\{\begin{array}{l}y=3 x-9 \\ y=x+5\end{array}\right. \) (A) \( (1,6) \) (B) \( (2,12) \) (C) \( (3,-9) \) (D) \( (7,12) \)
Álgebra United States Jan 27, 2025
A saion sells its cologne wholesale for \( \$ 8.75 \) per bottle. The variable costs of producing \( x \) hundred botties is \( -3 x^{2}+348 x-325 \) dollars, and the fixed costs for manufacturing are \( \$ 25,000 \). Find expressions for the revenue, cost, and profit from selling \( x \) hundred items. 0.33 of 1 Which expression represents revenue? \( \begin{array}{ll}\text { A. } R=875 x & \text { B. } R=8750 x \\ \text { C. } R=8.75 x & \text { D. } R=8.75 x+25,000 \\ \text { Which expression represents cost? } & \text { B. } C=-3 x^{2}+348 x+25,000 \\ \text { A. } C=-3 x^{2}-348 x-24,675 & \text { D. } C=-3 x^{2}+348 x+24,675 \\ \text { C. } C=875 x-25,000 x & \end{array} \)
Álgebra United States Jan 27, 2025
MATHEMAT (PAPER 1) QUESTION 1 1.1 Given: \( 2 k=(x-5)(x-k) \), determine: 1.1.1 \( k \) if \( x=2 \) 1.1.2 \( x \) if \( k=2 \) 1.2 Solve for \( x \) : 1.2.1 \( 2 x^{2}+3=8 x \) (correct to TWO decimal places) 1.2.2 \( \sqrt{2(x+10)}-10=x-12 \) 1.2.3 \( 3^{x}(x-5)<0 \) 1.3 Solve the following equations simultaneously: \[ \sqrt{3^{x}} \cdot 9^{y}=27 \quad \text { and } \quad x+4 y^{2}=6 \]
Álgebra South Africa Jan 27, 2025
Anterior Próximo
¡Prueba Premium ahora!
¡Prueba Premium y hazle a Thoth AI preguntas de matemáticas ilimitadas ahora!
Quizas mas tarde Hazte Premium
Estudiar puede ser una verdadera lucha
¿Por qué no estudiarlo en UpStudy?
Seleccione su plan a continuación
Prima

Puedes disfrutar

Empieza ahora
  • Explicaciones paso a paso
  • Tutores expertos en vivo 24/7
  • Número ilimitado de preguntas
  • Sin interrupciones
  • Acceso completo a Respuesta y Solución
  • Acceso completo al chat de PDF, al chat de UpStudy y al chat de navegación
Básico

Totalmente gratis pero limitado

  • Solución limitada
Bienvenido a ¡Estudia ahora!
Inicie sesión para continuar con el recorrido de Thoth AI Chat
Continuar con correo electrónico
O continuar con
Al hacer clic en "Iniciar sesión", acepta nuestros términos y condiciones. Términos de Uso & Política de privacidad