Number of terms in the expression `3x^2+y - 2y^2z - z^2x + 5` is

Options

A. 2
B. 3
C. 4
D. 5

Answer

To find the number of terms in the expression \(3x^2 + y - 2y^2z - z^2x + 5\), we will identify each distinct term in the expression.

### Step-by-Step Solution:

1. **Identify the Expression**:
The expression given is \(3x^2 + y - 2y^2z - z^2x + 5\).

2. **Break Down the Expression**:
We can separate the expression into individual components:
- \(3x^2\)
- \(y\)
- \(-2y^2z\)
- \(-z^2x\)
- \(5\)

3. **Count Each Term**:
Now, we will count each of these components:
- The first term is \(3x^2\) (1 term)
- The second term is \(y\) (1 term)
- The third term is \(-2y^2z\) (1 term)
- The fourth term is \(-z^2x\) (1 term)
- The fifth term is \(5\) (1 term)

4. **Total Number of Terms**:
Adding these up, we have:
- \(1 + 1 + 1 + 1 + 1 = 5\)

Thus, the total number of terms in the expression is **5**.

### Final Answer:
The number of terms in the expression \(3x^2 + y - 2y^2z - z^2x + 5\) is **5**.