Consider the following expression. $$ \begin{array}{l}3 u+5 v+2 \ \text { Select all of the true statements below. } \ \square 2 \text { is a constant. } \ \square 3 u \text { and } 2 \text { are like terms. } \ \square 3 u+5 v+2 \text { is written as a sum of three terms. } \ \square 3 u \text { is a factor. } \ \square 3 u \text { is a coefficient. } \ \square \text { None of these are true. }\end{array} $$

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1. The expression is given as $$ 3u+5v+2 $$.

2. Identify each component:
   - $$3u$$ is a term containing the variable $$ u $$ with coefficient $$ 3 $$.
   - $$5v$$ is a term containing the variable $$ v $$ with coefficient $$ 5 $$.
   - $$2$$ is a constant term.

3. Analysis of statements:
   - **Statement:** "2 is a constant."
     - Since $$2$$ does not change with any variable, it is indeed a constant. Thus, this statement is true.
     
   - **Statement:** "3u and 2 are like terms."
     - Like terms have the same variable parts. $$3u$$ contains the variable $$ u $$, whereas $$2$$ has no variable. Hence, they are not like terms. This statement is false.
     
   - **Statement:** "3u+5v+2 is written as a sum of three terms."
     - The expression consists of three terms: $$3u$$, $$5v$$, and $$2$$. Therefore, this statement is true.
     
   - **Statement:** "3u is a factor."
     - A factor is an expression that divides another expression. $$3u$$ is a term in the sum, not a factor multiplying a common expression. This statement is false.
     
   - **Statement:** "3u is a coefficient."
     - The coefficient is the numerical part multiplying the variable. In $$3u$$, the coefficient is $$3$$, not $$3u$$ as a whole. This statement is false.

4. Conclusion:
   - The true statements are:
     - $$2$$ is a constant.
     - $$3u+5v+2$$ is written as a sum of three terms.
The true statements are: - 2 is a constant. - $$3u + 5v + 2$$ is written as a sum of three terms.

Consider the following expression.

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