Identify monomials, binomials and trinomials from the following algebraic expressions:
`(3a+2b-5c)/(7)`

Answer

To identify monomials, binomials, and trinomials from the algebraic expression \((3a + 2b - 5c)/7\), we will follow these steps:

### Step 1: Understand the Definitions
- **Monomial**: An algebraic expression that consists of only one term. Example: \(5x\)
- **Binomial**: An algebraic expression that consists of two terms. Example: \(3x + 4\)
- **Trinomial**: An algebraic expression that consists of three terms. Example: \(x^2 + 2x + 1\)

### Step 2: Analyze the Given Expression
The expression given is \((3a + 2b - 5c)/7\). To analyze it, we first look at the numerator, which is \(3a + 2b - 5c\).

### Step 3: Count the Terms in the Numerator
- The numerator \(3a + 2b - 5c\) has three distinct terms:
1. \(3a\)
2. \(2b\)
3. \(-5c\)

### Step 4: Classify the Expression
Since the numerator has three terms, we can classify it as:
- **Trinomial**: Because it has three terms.

### Step 5: Conclusion
The expression \((3a + 2b - 5c)/7\) is a trinomial because its numerator consists of three terms.

### Summary:
- The expression is a **trinomial**.

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