To solve the problem of identifying the coefficient of the term [tex]\(2xy^3\)[/tex], let's break down the term step by step.
1. Understand the Term Structure: An algebraic term can typically be broken into two main parts:
- The numerical part (which is the coefficient),
- The variable part (which could include variables raised to various powers).
2. Identify the Numerical Part:
- The given term is [tex]\(2xy^3\)[/tex].
- Here, [tex]\(2\)[/tex] is the numerical part of the term, which acts as the coefficient.
3. Identify the Variable Part:
- The variables here are [tex]\(x\)[/tex] and [tex]\(y^3\)[/tex].
- The variables and their exponents do not affect the coefficient since the coefficient is purely the numerical factor.
4. Conclusion:
- The coefficient is the number multiplying the variables.
Therefore, in the term [tex]\(2xy^3\)[/tex], the coefficient is:
[tex]\[ \boxed{2} \][/tex]
Option A is the correct answer.
