Let's look at the given expression:
[tex]\[
3x + 5(x + 2) + 4
\][/tex]
We will analyze each term of this expression step-by-step.
- First Term:
The first term is [tex]\(3x\)[/tex]. Here, [tex]\(3\)[/tex] is known as a coefficient because it is the numerical factor that multiplies the variable [tex]\(x\)[/tex].
- Second Term:
The second term is [tex]\(5(x + 2)\)[/tex]. Upon expanding, this term can be written as [tex]\(5x + 10\)[/tex]. However, within the context of the given expression, [tex]\( (x + 2) \)[/tex] is a group of terms that modifies [tex]\( x \)[/tex]. Therefore, it can be referred to as a group of terms/modifiers of x.
- Last Term:
The last term in the given expression is [tex]\(4\)[/tex]. This term does not have a variable attached to it; it is just a number by itself. Such terms are known as constants or constant terms.
Completing the given statements with the correct answers:
- In the first term, 3 is a coefficient.
- In the second term, (x + 2) is a group of terms/modifiers of x.
- In the last term, 4 is a constant/constant term.
