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Question
Classify the following polynomial as monomial, binomial, trinomial. Which polynomial do not fit in any category?
xy + yz + zt + tx
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 \[xy + yz + zt + tx\] has exactly four terms xy, yz, zt and tx. Therefore, it doesn't belong to any of the categories.
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