Pregunta
Which is true about the degree of the sum and difference of the polynomials
and
?
Both the sum and difference have a degree of 6 .
Both the sum and difference have a degree of 7 .
The sum has a degree of 6 , but the difference has a degree of 7 .
The sum has a degree of 7 , but the difference has a degree of 6 .
Both the sum and difference have a degree of 6 .
Both the sum and difference have a degree of 7 .
The sum has a degree of 6 , but the difference has a degree of 7 .
The sum has a degree of 7 , but the difference has a degree of 6 .
Ask by Herrera Carroll. in the United States
Jan 24,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The sum has a degree of 6, but the difference has a degree of 7.
Solución

¡Inicia sesión para desbloquear respuestas gratis!
Una plataforma de aprendizaje en la que confían millones de estudiantes y profesores reales.

Respondido por UpStudy AI y revisado por un tutor profesional
Como
Mind Expander
To determine the degrees of the sum and difference of the given polynomials, let’s calculate them. The first polynomial is
and the second polynomial is
.
When we combine them, the leading term will dictate the degree. The highest degree term in the first polynomial is
(degree 6), and in the second polynomial, it is
(degree 6) as well. Thus, the highest term remains, and they will cancel out when we subtract. The sum will yield a degree of 6.
However, their difference will also feature
, reinforcing the degree at 6. Hence, both the sum and difference have a degree of 6. That’s an exciting find!
When dealing with the degrees of polynomials, always focus first on the highest degree term. It’s the key indicator! A common mistake is to overlook combining like terms; this can lower the polynomial’s degree unexpectedly. So, careful attention can save you from what would be a rude awakening!
preguntas relacionadas

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