Question

Identify monomial, binomial, and trinomial from the following algebraic expression.

$\frac{2}{5}{x}^3-\frac{3}{5}x-1$

Write constant terms.

Answer 1

Identifying the algebraic expression

Given algebraic expression is $\frac{2}{5}{x}^3-\frac{3}{5}x-1$

If an algebraic expression has only a term then it is monomial.

If an algebraic expression has two terms then it is binomial.

And if an algebraic expression has three terms then it is trinomial.

It has three terms that are $\frac{2}{5}{x}^3,-\frac{3}{5}x,-1$ and the constant term is $-1$

Thus, $\frac{2}{5}{x}^3-\frac{3}{5}x-1$ has three terms so it is trinomial.

Hence, the given algebraic expression is trinomial and the constant term is $-1$.