Certainly! Let's analyze the given expression step-by-step:
The expression given is:
[tex]\[ 5x - 8(3y + 13) - 1 \][/tex]
### First Term Analysis
- The first term in the expression is [tex]\(5x\)[/tex].
- In the term [tex]\(5x\)[/tex], the number [tex]\(5\)[/tex] is the multiplicative factor of the variable [tex]\(x\)[/tex].
Hence, in the first term, 5 is a coefficient.
### Second Term Analysis
- The second term involves the expression [tex]\(8(3y + 13)\)[/tex].
- Inside the parentheses, the expression [tex]\(3y + 13\)[/tex] combines terms with the variable [tex]\(y\)[/tex] and a constant.
Therefore, in the second term, [tex]\((3y + 13)\)[/tex] is a binomial (a polynomial with two terms).
### Third Term Analysis
- The third term in the expression is [tex]\(-1\)[/tex].
- The term [tex]\(-1\)[/tex] does not contain any variables; it is a standalone number.
So, in the third term, [tex]\(-1\)[/tex] is a constant term.
To summarize:
- In the first term, 5 is a coefficient.
- In the second term, [tex]\((3y + 13)\)[/tex] is a binomial.
- In the third term, -1 is a constant term.
The correct answers for the statements are:
- In the first term, 5 is a coefficient.
- In the second term, [tex]\((3 y + 13)\)[/tex] is a binomial.
- In the third term, -1 is a constant term.
