Which of the following is a binomial?

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x 2 + x + 3

x 2 + 4

2 x 2

x + 3 + 1 x

answer is B.

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Detailed Solution

The given expressions are

x + 3 + 1 x

2 x 2

x 2 + 4

x 2 + x + 3

.
Consider the given options:
In option 1:
The expression

x 2 + x + 3

is trinomial, as it is the sum of 3 unlike terms.
Hence, the given expression is not a binomial.
In option 2:
The given expression

x 2 + 4

is a binomial, as it is the sum of 2 unlike terms.
In option 3:
The given expression

2 x 2

is monomial, as it has just 1 term.
Hence, the given expression is not a binomial.
In option 4:
The given expression

x + 3 + 1 x

is trinomial, as it is the sum of 3 unlike terms.
Hence, the given expression is not a binomial.
Therefore, option 2 is correct.

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