What is monomial, binomial and trinomial?

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Solution

An algebraic expression having one term.
$13$ , $3 x$ , $- 57$ , $x^{2}$ , $4 y^{2}$ , $- 2 x y$ or $520 x^{2} y^{2}$
(notice: no negative exponents, no fractional exponents)

A binomial is the sum of two monomials. It has two unlike terms.

(bi implies two)
$3 x + 1$ , $x^{2} - 4 x$ , $2 x + y$ , or $y - y^{2}$

A trinomial is the sum of three monomials. It has three unlike terms. (tri implies three)
$x^{2} + 2 x + 1$ , $3 x^{2} - 4 x + 10$ , $2 x + 3 y + 2$

A polynomial is the sum of one or more terms. (poly implies many)
$x^{2} + 2 x$ , $3 x^{3} + x^{2} + 5 x + 6$ , $4 x - 6 y + 8$

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