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Which of these expressions is a binomial?

\begin{tabular}{|c|c|}
\hline
\# & Expression \\
\hline
1 & [tex]$-8$[/tex] \\
\hline
2 & [tex]$7a$[/tex] \\
\hline
3 & [tex]$3+4x$[/tex] \\
\hline
\end{tabular}

A. 3
B. 1
C. 1 and 2
D. 2 and 3


Sagot :

A binomial is an algebraic expression that consists of exactly two terms. Let's analyze each given expression:

1. [tex]\(-8\)[/tex]: This is just a single constant term, so it is not a binomial.

2. [tex]\(7a\)[/tex]: This is a single term with a coefficient and a variable, making it a monomial, not a binomial.

3. [tex]\(3 + 4x\)[/tex]: This expression consists of two terms: a constant term [tex]\(3\)[/tex] and a term involving a variable [tex]\(4x\)[/tex]. Therefore, it is a binomial.

Based on this analysis, the correct answer is:
3