Short Answer
The expression 4(8x+5) consists of two factors: the number 4 and the binomial (8x+5). The binomial itself, composed of two terms (8x and 5), signifies a sum that results from multiplying these factors together.
Step 1: Identify the Factors
The expression 4(8x+5) consists of two main components called factors. These factors are:
- The number 4
- The binomial (8x+5)
This signifies that the expression is a result of the multiplication of these two factors.
Step 2: Understand the Product Explanation
The expression is recognized as a product, which results from the multiplication of one factor by another. In this case, it shows that:
- The number 4 is multiplied by the binomial (8x+5).
- This multiplication indicates how the components combine to create the final expression.
This fundamental understanding of multiplication helps clarify how the expression operates.
Step 3: Analyze the Binomial Structure
Focusing on the binomial (8x+5), it is defined as a sum that contains two terms. These terms are:
- 8x – a term that includes a variable multiplied by a coefficient
- 5 – a constant term
Therefore, this binomial qualifies as having two distinct terms added together, which is essential to its structure.