Pregunta
Determine the degree of the polynomial
.
Ask by Floyd Phillips. in the United States
Jan 23,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The degree of the polynomial
is 5.
Solución
To determine the degree of the polynomial
, follow these steps:
-
Identify Each Term and Its Degree:
-
: The exponent of is 5. -
: This term can be written as , so the exponent is 1. -
: The exponent of is 3.
-
-
Determine the Highest Degree:
- Among the exponents
, , and , the highest is 5.
- Among the exponents
-
Conclusion:
- The degree of the polynomial is 5.
Answer: The degree of the polynomial
is 5.
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The Deep Dive
The degree of a polynomial is determined by the highest power of the variable in the polynomial. In the polynomial
, we have three terms:
-
has a degree of 5. -
(which is ) has a degree of 1. -
has a degree of 3.
The highest degree among these terms is
. Therefore, the degree of the polynomial
is
.
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