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Question
Classify the following polynomial as monomial, binomial, trinomial. Which polynomial do not fit in any category?
2b − 3b2
Solution
Definitions:
A polynomial is monomial if it has exactly one term. It is called binomial if it has exactly two non-zero terms. A polynomial is a trinomial if it has exactly three non-zero terms.
The polynomial \[2b - 3 b^2\] has exactly two terms, i.e., 2b and \[- 3 b^2\] .
Therefore, it is a binomial.
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