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Look at this expression, and complete the statements.

[tex]\[ 3x + 5(x + 2) + 4 \][/tex]

Select the correct answer from each drop-down menu.

In the first term, 3 is [tex]$\square$[/tex].

In the second term, [tex]$(x + 2)$[/tex] is [tex]$\square$[/tex].

In the last term, 4 is [tex]$\square$[/tex].

Sagot :

GinnyAnsweridn
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.
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