Chapter 5.1, Problem 14PPSE

Solution

Write the polynomial $-x^5$ in standard form and then classify by degree and the by the number of terms.

The standard form of the polynomial is $-x^5$ .

The polynomial is quintic monomial.

Given:

  $-x^5$ .

Concept Used:

• In order to write the polynomial in standard form, arrange the terms by degree in descending order.
• The highest exponent of a polynomial is called degree.
• If a polynomial has one term, then it is called monomial.
• If a polynomial has two terms, then it is called binomial.
• If a polynomial has three terms, then it is called trinomial.

Calculation:

The given polynomial is $-x^5$ .

Write the polynomial in descending order of exponent

  $-x^5$

So, the standard form of the polynomial is $-x^5$ .

The highest exponent is $5$ . Hence, the degree of the polynomial is $5$ .

Since, it has one term, hence it is called a monomial.

So, the polynomial is quintic monomial.