The algebraic expression,
The sum of square of x and cube of z is

Options

A. monomial
B. binomial
C. trinomial
D. coefficient

Answer

To solve the problem, we need to express the given statement "The sum of square of x and cube of z" as an algebraic expression and then classify it.

### Step-by-Step Solution:

1. **Identify the components of the expression**:
- The phrase "the sum of the square of x" refers to \( x^2 \).
- The phrase "the cube of z" refers to \( z^3 \).

**Hint**: Look for keywords in the problem statement that indicate mathematical operations, such as "sum" for addition.

2. **Combine the components**:
- Since we are looking for the sum, we combine the two components:
\[ x^2 + z^3 \]

**Hint**: When you see "sum of", remember to use the plus sign (+) to combine the terms.

3. **Classify the expression**:
- The expression \( x^2 + z^3 \) consists of two terms: \( x^2 \) and \( z^3 \).
- Since there are two unlike terms, we classify this expression as a binomial.

**Hint**: Recall the definitions:
- Monomial: 1 term
- Binomial: 2 unlike terms
- Trinomial: 3 unlike terms

### Final Answer:
The algebraic expression for "the sum of the square of x and the cube of z" is \( x^2 + z^3 \), and it is classified as a binomial.