The expression you are looking to analyze is the product of three terms: x, 5x, and 2. To find the middle term, we will first multiply these terms together, and then analyze the resulting polynomial.
Let’s start by multiplying the terms:
- Multiply x and 5x:
x * 5x = 5x^2 - Next, multiply the result by 2:
5x^2 * 2 = 10x^2
So, the expression x * 5x * 2 simplifies down to 10x^2.
Since this expression is a simple quadratic term without any additional terms or factors, it does not have multiple terms to create a middle term in the traditional sense (like in a polynomial with distinct powers). The expression 10x^2 is monomial, where the term itself is the only term present.
In summary, while the concept of a middle term applies to polynomials with at least three different terms, in the case of the product of x, 5x, and 2, the result is simply 10x^2 with no distinct middle term.