Question
Classify the following polynomials as monomials, binomials, trinomials. Which polynomials do not fit in any category?
$2 b-3 b^2$
$2 b-3 b^2$
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Answer
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 $2 b-3 b^2$ has exactly two terms, i.e. 2 b and $-3 b^2$ Therefore, it is a binomial.
The polynomial $2 b-3 b^2$ has exactly two terms, i.e. 2 b and $-3 b^2$ Therefore, it is a binomial.
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