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To determine which of the given expressions is a binomial, we need to recall the definition of a binomial. A binomial is a polynomial with exactly two terms. Let's examine each given expression step-by-step.
1. [tex]\(-8\)[/tex]:
- This expression consists of only one term, [tex]\(-8\)[/tex]. Since a binomial requires exactly two terms, this is not a binomial.
2. [tex]\(7a\)[/tex]:
- This expression also consists of a single term, [tex]\(7a\)[/tex]. Since a binomial must have two terms, this is not a binomial either.
3. [tex]\(3 + 4x\)[/tex]:
- This expression consists of two terms: [tex]\(3\)[/tex] and [tex]\(4x\)[/tex]. Since it has exactly two terms, it satisfies the definition of a binomial.
After examining all the given expressions, we can conclude that the expression [tex]\(3 + 4x\)[/tex] is a binomial.
1. [tex]\(-8\)[/tex]:
- This expression consists of only one term, [tex]\(-8\)[/tex]. Since a binomial requires exactly two terms, this is not a binomial.
2. [tex]\(7a\)[/tex]:
- This expression also consists of a single term, [tex]\(7a\)[/tex]. Since a binomial must have two terms, this is not a binomial either.
3. [tex]\(3 + 4x\)[/tex]:
- This expression consists of two terms: [tex]\(3\)[/tex] and [tex]\(4x\)[/tex]. Since it has exactly two terms, it satisfies the definition of a binomial.
After examining all the given expressions, we can conclude that the expression [tex]\(3 + 4x\)[/tex] is a binomial.
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