Let’s examine the expression [tex]\(3x + 2(x + 2) + 4\)[/tex] step-by-step to determine the parts referred to in the statements.
1. First Term:
- The first term in the expression is [tex]\(3x\)[/tex].
- In this term, the number 3 is multiplying the variable [tex]\(x\)[/tex].
- This makes 3 the coefficient of [tex]\(x\)[/tex] in the first term.
2. Second Term:
- The second term in the expression is [tex]\(2(x + 2)\)[/tex].
- Here, [tex]\(2\)[/tex] is multiplying the expression inside the parentheses [tex]\((x + 2)\)[/tex].
- The entire contents inside the parentheses, [tex]\(x + 2\)[/tex], is an expression or polynomial.
3. Last Term:
- The last term in the expression is [tex]\(4\)[/tex].
- This term stands alone without any variable or multiplication.
- This makes 4 a constant term in the expression.
Given this breakdown, we can accurately fill in the blanks:
In the first term, 3 is the coefficient.
In the second term, [tex]\((x + 2)\)[/tex] is a polynomial.
In the last term, 4 is a constant.
