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Q28.

Expert-verifiedFound in: Page 430

Book edition
Student Edition

Author(s)
Carter, Cuevas, Day, Holiday, Luchin

Pages
801 pages

ISBN
9780078884801

**Determine whether each expression is a polynomial. If so, identify the polynomial as a monomial, binomial, or trinomial.**

$2{x}^{-3}-4x+1$

The given expression $2{x}^{-3}-4x+1$ is **not** **a polynomial**.

A monomial is a number, a variable or the product of a number and one or more variables with non-negative integer exponents. The monomial has only one term.

A polynomial is a monomial or the sum of monomials, each called a term of the polynomial.

The polynomial having only one term is called a monomial.

The polynomial having two terms is called a binomial. That is binomial is sum of two monomials.

The polynomial having three terms is called a trinomial. That is trinomial is sum of three monomials.

The given expression is $2{x}^{-3}-4x+1$.

It can be noticed that the first term of the given expression is the product of a number and one variable with negative integer exponents.

Therefore, the first term of the given expression is not a monomial.

As, the given expression is not sum of monomials. Therefore, the given expression is not a polynomial.

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