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

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Solution

If we added $2 x, - 4 y^{2}$ and $- z$ to the given expression. It becomes a binomial expression.
$\Rightarrow$ $2 x + (- 2 x + 4 y^{2} + z) = 4 y^{2} + z$
$\Rightarrow$ $- 4 y^{2} + (- 2 x + 4 y^{2} + z) = - 2 x + z$
$\Rightarrow$ $- z + (2 x + 4 y^{2} + z) = - 2 x + 4 y^{2}$

Hence, on adding a monomial $2 x$ or $- 4 y^{2}$ or $- z$ to $- 2 x + 4 y^{2} + z$ , the resulting expression becomes a binomial expression

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

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Categorize the following expressions based on the number of terms.

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