Pregunta
Which of these polynomial expressions have a degree of 2 ? Select all that apply.
Ask by Bartlett Bolton. in the United States
Jan 29,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The polynomials with degree 2 are
and
.
Solución
To determine which polynomial expressions have a degree of 2, we need to identify the highest exponent of
in each polynomial. The degree of a polynomial is the highest power of
with a non-zero coefficient.
Let’s analyze each expression:
-
- Highest exponent:
- Degree: 2
- Highest exponent:
-
- Highest exponent:
- Degree: 3
- Highest exponent:
-
- Highest exponent:
- Degree: 2
- Highest exponent:
-
- Highest exponent:
- Degree: 3
- Highest exponent:
-
- Highest exponent:
- Degree: 4
- Highest exponent:
-
- Highest exponent:
- Degree: 4
- Highest exponent:
Therefore, the polynomial expressions with a degree of 2 are:
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Como
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Bonus Knowledge
The polynomial expressions that have a degree of 2 are
and
. A polynomial’s degree is determined by the highest power of the variable, so any term with
(the square of x) establishes the polynomial as degree 2.
As a fun fact, polynomials can describe a wide variety of real-world phenomena, from projectile motions where the path of an object follows a parabolic trajectory to optimizing business profits where revenue and cost functions can be modeled with quadratic expressions! When interpreting these functions, keeping track of the degree can guide you in understanding whether your equation describes a simple line or a more complex curve.
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