Classify the following algebraic expression into monomial, binomial or trinomial
$1 + x + x^{2}$

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Solution

Classifying the algebraic expression
We know that
A polynomial that contains only one term is called a monomial.
A polynomial that contains only two-term is called a binomial.
A polynomial that contains only three terms is called a trinomial.
An algebraic expression $1 + x + x^{2}$ contains only three terms so, it is classified as trinomial.
Hence, the algebraic expression $1 + x + x^{2}$ is trinomial.

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