Which of the following is a trinomial?

x

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a b

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a + b

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x^{2} + 2 x y + y^{2}

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Solution

The correct option is D $x^{2} + 2 x y + y^{2}$
Among the given options, $x$ has one term in it, and it is a monomial.
$a b$ has two variables. But the number of terms is just one. Hence it is a monomial.
$a + b$ is a binomial as it has two unlike terms.
$x^{2} + 2 x y + y^{2}$ has three unlike terms and hence it is a trinomial.

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