Question
Classify this polynomial. \( 2 n \) quadratic linear cubic none of these
Ask by Malone Murphy. in the United States
Dec 03,2024
Upstudy AI Solution
Tutor-Verified Answer
Answer
The polynomial \( 2n \) is linear.
Solution
The polynomial \( 2n \) is classified as a linear polynomial. A linear polynomial is of the form \( ax + b \), where \( a \) and \( b \) are constants and \( x \) is the variable. In this case, \( 2n \) can be seen as \( 2n + 0 \), which fits the linear form.
So, the answer is **linear**.
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Simplify this solution Bonus Knowledge
This polynomial, \( 2n \), is classified as a linear polynomial because it has the form \( an + b \) where \( a \) is a non-zero constant and \( b \) is a constant term (in this case, \( b = 0 \)). Linear polynomials graph as straight lines and have a degree of 1. When analyzing polynomials, remember that the degree is determined by the highest power of the variable. In \( 2n \), since \( n \) is raised to the power of 1, it confirms its linear classification!
