The terms with different algebraic factors are called ______ .

Options

A. Like terms
B. Unlike terms
C. Binomial
D. Polynomial

Answer

To solve the question, we need to fill in the blank with the correct term that describes the terms with different algebraic factors.

1. **Understanding the Question**: The question asks for a term that describes algebraic expressions that have different factors. For instance, if we take two terms like \(8x\) and \(8x^2\), we need to identify their relationship based on their factors.

**Hint**: Think about how the factors of these terms differ from each other.

2. **Identifying the Terms**: Let's analyze the terms given in the example:
- The term \(8x\) can be factored into \(8 \cdot x\).
- The term \(8x^2\) can be factored into \(8 \cdot x \cdot x\).

**Hint**: Look at the variables and their powers in each term.

3. **Comparing the Terms**: Notice that the term \(8x\) has one \(x\) while \(8x^2\) has two \(x\)s. Since the factors differ (one has \(x\) and the other has \(x^2\)), they cannot be combined.

**Hint**: Consider what it means for terms to be combined or simplified in algebra.

4. **Conclusion**: Since the terms \(8x\) and \(8x^2\) have different algebraic factors, they are classified as "unlike terms".

**Final Answer**: The terms with different algebraic factors are called **unlike terms**.