Answered

Select the correct answer from each drop-down menu.

Look at this expression, [tex]3x + 2(x + 2) + 4[/tex], and complete the statements.

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].



Answer :

Let's analyze the given expression: [tex]\(3x + 2(x + 2) + 4\)[/tex].

1. In the first term, [tex]\(3x\)[/tex], the coefficient of [tex]\(x\)[/tex] is 3.

So, in the first term, 3 is the coefficient of [tex]\(x\)[/tex].

2. In the second term, [tex]\(2(x + 2)\)[/tex], the expression inside the parentheses is [tex]\(x + 2\)[/tex], which is a binomial expression.

So, in the second term, [tex]\((x + 2)\)[/tex] is a binomial expression.

3. In the last term, 4 is simply a constant term.

So, in the last term, 4 is a constant term.

Thus, the complete statements are:

- In the first term, 3 is the coefficient of [tex]\(x\)[/tex].
- In the second term, [tex]\((x + 2)\)[/tex] is a binomial expression.
- In the last term, 4 is a constant term.