On adding a monomial _____________ to $- 2 x + 4 y^{2} + z$ the resulting expression becomes a binomial.

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Solution

Polynomial:
A mononomial is a polynomial expression consist only one term.
A binomial is a polynomial expression consisting two terms.
The given expression is $- 2 x + 4 y^{2} + z$
On adding $2 x$ to the given expression
$- 2 x + 4 y^{2} + z + 2 x = 4 y^{2} + z$
The expression thus become a binomial consisting only two terms.
Hence, on adding $2 x$ to the $- 2 x + 4 y^{2} + z$ , the resulting expression becomes a binomial.

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On adding a monomial ___ to $- 2 x + 4 y^{2} + z,$ the resulting expression becomes a binomial.

State whether the following expression is monomial, binomial, or trinomial.
$2 x + 3 y + 2$

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- 2 x + 4 y^{2} + z

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