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Question
Classify the following polynomial as monomial, binomial, trinomial. Which polynomial do not fit in any category?
2y − 3y2 + 4y3
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 \[2y - 3 y^2 + 4 y^3\] has exactly three terms, i.e., 2y, \[- 3 y^2\] and \[4 y^3\].
Therefore, it is a trinomial.
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