Identify monomials, binomials and trinomials from the following algebraic expressions:
`3x^(2) div p`

Answer

To identify whether the expression \( \frac{3x^2}{b} \) is a monomial, binomial, or trinomial, we can follow these steps:

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

### Step 2: Analyze the Given Expression
The expression given is \( \frac{3x^2}{b} \).

### Step 3: Simplify the Expression
This expression can be rewritten as \( 3x^2 \div b \).

### Step 4: Identify the Number of Terms
In this case, \( \frac{3x^2}{b} \) is a single term because it can be viewed as \( 3x^2 \cdot \frac{1}{b} \).

### Step 5: Conclusion
Since the expression consists of only one term, we can conclude that:
- \( \frac{3x^2}{b} \) is a **monomial**.

### Summary of the Solution
The expression \( \frac{3x^2}{b} \) is identified as a monomial because it consists of only one term.

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