Math Problem Statement
Name the degree, the leading coefficient, and the constant: f(x)= -x6 + 2x3 – x + 3. Write the answer in the order listed in the question(degree first, then leading coefficient, then constant value)
Column A 1. 6: 6 2. -1: -1 3. 3: 3 Column B a. leading coefficient b. constant value c. degree
Solution
For the function :
- Degree: 6
- Leading Coefficient: -1
- Constant Value: 3
So the answer in the requested order is:
6, -1, 3.
Column Matching:
- 6: (c) degree
- -1: (a) leading coefficient
- 3: (b) constant value
Do you want more details or have any questions? Here are some related questions you might consider:
- What is the significance of the leading coefficient in polynomial functions?
- How do you determine the degree of a polynomial?
- Can you explain what a constant term represents in a polynomial?
- How does the degree of a polynomial affect its graph?
- What happens to the behavior of the function as approaches infinity or negative infinity based on its degree?
Tip: Understanding the degree and leading coefficient helps predict the behavior of polynomial functions.
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Math Problem Analysis
Mathematical Concepts
Polynomial Functions
Algebra
Formulas
f(x) = ax^n + ...
Degree of a polynomial
Theorems
Properties of polynomial functions
Suitable Grade Level
Grades 9-11
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