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प्रश्न
Classify the following polynomial as monomial, binomial, trinomial. Which polynomial do not fit in any category?
x + x2 + x3 + 4y4
उत्तर
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 \[x + x^2 + x^3 + x^4\] has exactly four terms, i.e., \[x, x^2 , x^3 \text { and } x^4\].
Therefore, it doesn't belong to any of the categories.
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