An algebraic expression having one or more terms with non-negative integral exponents of the variables is called ____ .

Answer

To solve the question, we need to identify the type of algebraic expression described. Here’s a step-by-step breakdown:

1. **Understanding the Definition**: We need to analyze the phrase "an algebraic expression having one or more terms with non-negative integral exponents of the variables." This means that the expression can have variables raised to powers that are whole numbers (0, 1, 2, etc.) and cannot have negative or fractional exponents.

2. **Identifying Examples**: We can think of examples of such expressions. For instance:
- \( x^2 \) (where the exponent is 2, a non-negative integer)
- \( y^3 \) (where the exponent is 3)
- \( z \) (which can be considered as \( z^1 \))
- \( x^2 + y^3 + z \) (a combination of terms)

3. **Recognizing the Term**: The question asks for a specific term that describes such expressions. The key here is to recognize that expressions that fit this description are commonly referred to in mathematics.

4. **Conclusion**: The term that describes an algebraic expression with one or more terms that have non-negative integral exponents is known as a **polynomial**.

Final Answer: An algebraic expression having one or more terms with non-negative integral exponents of the variables is called **polynomial**.

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