Math Problem Statement
Find the degree of the term 2x^5, Find the degree of the term 1x^3, Find the degree of the term 3x^6, Find the degree of the term 5, Find the degree of the polynomial 2x^5 + 1x^3 + 3x^6 + 5.
Solution
Let's go through each part of the problem:
-
Degree of the term :
- The degree of a term is the exponent of the variable.
- For , the exponent of is 5.
- Answer: 5
-
Degree of the term :
- The exponent of is 3.
- Answer: 3
-
Degree of the term :
- The exponent of is 6.
- Answer: 6
-
Degree of the term :
- This is a constant term (there's no variable). The degree of a constant is 0.
- Answer: 0
-
Degree of the polynomial :
- The degree of a polynomial is the highest degree of its terms.
- The highest exponent among the terms is 6 (from ).
- Answer: 6
Would you like further details on this solution?
Here are 5 related questions for practice:
- What is the degree of the term ?
- What is the degree of the polynomial ?
- What is the degree of a constant term, like ?
- How would the degree change if there are multiple variables, e.g., ?
- What is the degree of the polynomial ?
Tip: The degree of a polynomial helps in understanding its behavior for large values of , as the highest degree term dominates.
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Math Problem Analysis
Mathematical Concepts
Polynomials
Degree of a term
Formulas
Degree of a term is the exponent of the variable
Degree of a polynomial is the highest degree among its terms
Theorems
Fundamental understanding of polynomial degrees
Suitable Grade Level
Grades 6-8