Math Problem Statement
Solution
To solve each of these questions, let's go through them one by one, focusing on the degree of each term and the polynomial.
1. Find the degree of the term :
- The degree of a term with one variable is the exponent of the variable. Here, the exponent of is 6.
- Answer: The degree of is 6.
2. Find the degree of the term :
- The term is a constant, and constants have a degree of 0.
- Answer: The degree of is 0.
3. Find the degree of the term :
- The exponent of in is 9.
- Answer: The degree of is 9.
4. Find the degree of the term :
- The exponent of in is 8.
- Answer: The degree of is 8.
5. Find the degree of the polynomial :
- The degree of a polynomial is the highest degree of any individual term within it.
- The degrees of the terms are:
- : 6
- : 0
- : 9
- : 8
- The highest degree among these terms is 9.
- Answer: The degree of the polynomial is 9.
Let me know if you'd like more details or have questions on any step.
Related Questions:
- What is the degree of a polynomial with terms that all have the same degree?
- How does the degree of a constant term compare to variable terms?
- How do we determine the degree of a polynomial with multiple variables?
- Why is the degree of a constant term always 0?
- What is the effect of adding or subtracting terms on the degree of a polynomial?
Tip:
The degree of a polynomial is always determined by the term with the highest power of the variable, even if it's negative or involves a coefficient.
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Math Problem Analysis
Mathematical Concepts
Algebra
Polynomial Degree
Exponent
Formulas
Degree of a term with a variable: exponent of the variable
Degree of a constant term is always 0
Degree of a polynomial is the highest degree of its terms
Theorems
Definition of polynomial degree
Suitable Grade Level
Grades 7-9
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