How do you determine if $\frac{3 x}{5 y}$ $(3x)/(5y)$ is a polynomial and if so, is it a monomial, binomial, or trinomial?

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Answer 1 · 2018-01-26T06:09:07

$\frac{3 x}{5 y}$ $(3x)/(5y)$ is not a monomial, binomial, trinomial, or polynomial.

To find out why it's not classified, let's rewrite $\frac{3 x}{5 y}$ $(3x)/(5y)$ :

$\frac{3 x}{5 y} = 3 x \cdot \frac{1}{5 y} = 3 x \cdot 5 y^{- 1}$ $(3x)/(5y)= 3x*1/(5y)=3x*5y^-1$

An expression with a negative exponent cannot be classified as a polynomial.

I recommend watching this video about classifying polynomials including monomials, binomials, trinomials, and none of these.

How do you determine if 3x5y(3x)/(5y) is a polynomial and if so, is it a monomial, binomial, or trinomial?