To describe the expression [tex]\( 3x + 2y + 8z \)[/tex] accurately, let's break down each part:
1. Identify the Terms:
- The expression [tex]\( 3x + 2y + 8z \)[/tex] is composed of three distinct terms:
- [tex]\( 3x \)[/tex]
- [tex]\( 2y \)[/tex]
- [tex]\( 8z \)[/tex]
2. Examine Each Term:
- Each term is a product of a numerical coefficient and a variable:
- [tex]\( 3x \)[/tex] is the product of 3 and [tex]\( x \)[/tex]
- [tex]\( 2y \)[/tex] is the product of 2 and [tex]\( y \)[/tex]
- [tex]\( 8z \)[/tex] is the product of 8 and [tex]\( z \)[/tex]
3. Sum of Products:
- These products are being added together. Hence, we are summing the products.
- Therefore, the structure of the expression is "the sum of three products."
4. Count the Number of Terms:
- We've identified three distinct terms in this expression.
Considering all of the above points, the best description for the expression [tex]\( 3x + 2y + 8z \)[/tex] is:
The sum of three products; there are three terms
Thus, the correct option is the second one:
- The sum of three products; there are three terms
