To express the mathematical expression \(-5x(4 + 3x)\) using words, let's break it down into smaller parts and combine them to form a coherent description:
1. Negative five times a number: Let's denote the number as \(x\). So, "negative five times a number" can be written as \(-5x\).
2. The quantity four plus three times the number: Here, "the quantity" indicates that there is something within the parentheses to consider. "Four" is simply the number 4. "Three times the number" can be written as \(3x\). Combining these, we get "the quantity four plus three times the number," which we can represent as \(4 + 3x\).
3. The product of the two parts: Now, we need to describe that these two parts are being multiplied together. "The product of negative five times a number and the quantity four plus three times the number" indicates this multiplication.
Combining these parts, the expression \(-5x(4 + 3x)\) in words is:
The product of negative five times a number and the quantity four plus three times the number.
Thus, among the given options, the correct one is:
- "the product of negative five times a number and the quantity four plus three times the number."
