Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter6: Polynomials
Section6.1: Add And Subtract Polynomials
Problem 6.30TI: The polynomial 6x2+15xy gives the cost, in dollars, of producing a rectangular container whose top...
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![### Determining the Degree of a Polynomial
**Question:**
What is the degree of the given polynomial?
\[8x^4 - 6x^2 + 6x^3 - 2\]
**Explanation:**
To find the degree of a polynomial, you must identify the term with the highest exponent. In this polynomial:
- The first term is \(8x^4\) with an exponent of 4.
- The second term is \( -6x^2\) with an exponent of 2.
- The third term is \( 6x^3\) with an exponent of 3.
- The fourth term is a constant (\( -2\)) with an exponent of 0 (since any number can be considered as \(2x^0\)).
The term \(8x^4\) has the highest exponent (4). Therefore, the degree of the given polynomial is 4.
**Answer Box:**
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Transcribed Image Text:### Determining the Degree of a Polynomial
**Question:**
What is the degree of the given polynomial?
\[8x^4 - 6x^2 + 6x^3 - 2\]
**Explanation:**
To find the degree of a polynomial, you must identify the term with the highest exponent. In this polynomial:
- The first term is \(8x^4\) with an exponent of 4.
- The second term is \( -6x^2\) with an exponent of 2.
- The third term is \( 6x^3\) with an exponent of 3.
- The fourth term is a constant (\( -2\)) with an exponent of 0 (since any number can be considered as \(2x^0\)).
The term \(8x^4\) has the highest exponent (4). Therefore, the degree of the given polynomial is 4.
**Answer Box:**
A text field is provided to input the answer. After inputting the answer, click the checkmark to confirm.
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