Q26. Determine whether each expressio... [FREE SOLUTION]

91影视

Algebra 1

Carter, Cuevas, Day, Holiday, Luchin

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 801 pages

ISBN: 9780078884801

Chapter 7: Q26. (page 430)

Determine whether each expression is a polynomial. If so, identify the polynomial as a monomial, binomial, or trinomial.
$a x^{鈭� 3}$

Short Answer

Expert verified

The given expression $a x^{鈭� 3}$ is not a polynomial.

Step by step solution

Step 1. Write the definition of the 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.

Step 2. Determine whether each expression is a polynomial.

The given expression is $a x^{鈭� 3}$ .

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

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

As, the given expression is not a monomial. Therefore, the given expression is not a polynomial.

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Equation	Related Expression	Power of 鈥�x鈥�	Linear or non linear
$y = x$
$y = x^{2}$
$y = x^{3}$

91影视

Determine whether each expression is a polynomial. If so, identify the polynomial as a monomial, binomial, or trinomial.
$a x^{鈭� 3}$

Short Answer

Step by step solution

Step 1. Write the definition of the polynomial.

Step 2. Determine whether each expression is a polynomial.

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91影视

Determine whether each expression is a polynomial. If so, identify the polynomial as a monomial, binomial, or trinomial.ax鈭�3

Short Answer

Step by step solution

Step 1. Write the definition of the polynomial.

Step 2. Determine whether each expression is a polynomial.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Logic and Functions

Applied Mathematics

Discrete Mathematics

Mechanics Maths

Pure Maths

Study anywhere. Anytime. Across all devices.

Determine whether each expression is a polynomial. If so, identify the polynomial as a monomial, binomial, or trinomial.
$a x^{鈭� 3}$