To determine the degree of the term [tex]\(3x^3y\)[/tex], let's break down the components of the term and analyze them step-by-step:
1. Identify the coefficients and exponents:
- The coefficient of the term is 3, but coefficients do not affect the degree of a term.
- The variable [tex]\(x\)[/tex] has an exponent of 3, indicating that [tex]\(x\)[/tex] is raised to the power of 3.
- The variable [tex]\(y\)[/tex] has an implicit exponent of 1, since [tex]\(y\)[/tex] is the same as [tex]\(y^1\)[/tex].
2. Sum the exponents of all variables:
- We add the exponents of [tex]\(x\)[/tex] and [tex]\(y\)[/tex]. The exponent of [tex]\(x\)[/tex] is 3, and the exponent of [tex]\(y\)[/tex] is 1.
3. Calculate the degree:
- The degree of the term [tex]\(3x^3y\)[/tex] is the sum of the exponents of its variables. So, we have:
[tex]\[\text{Degree} = 3 + 1 = 4\][/tex]
Therefore, the degree of the term [tex]\(3x^3y\)[/tex] is 4.
