In Exercises 1 –2, determine the coefficient of each term, the degree of each term, the degree of the polynomial, the leading term, and the leading coefficient of the polynomial.
To calculate: The coefficient of each term, the degree of each term, the degree of the polynomial, the leading term, and the leading coefficient of the polynomial
Answer to Problem 1RE
Solution:
The degree of the polynomial is 3.
The leading term of the polynomial is
The leading coefficient of the polynomial is
The coefficient of term
The coefficient of term
The coefficient of term
The coefficient of the constant term is
Explanation of Solution
Given:
The polynomial is
Calculation:
Consider each term of the polynomial
Term | Coefficient | Degree |
The coefficient of term
The coefficient of term
The coefficient of term
The coefficient of the constant term is
Since, the greatest degree of the polynomial is 3.
So, the degree of the polynomial is 3.
Since, the leading term is the term of the greatest degree.
So, the leading term of the polynomial is
Since, the leading term is the term of the greatest degree.
So, the leading coefficient of the polynomial is
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Chapter 5 Solutions
Intermediate Algebra for College Students (7th Edition)
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