Question

Write each polynomial in descending order of the variable $x$. If the polynomial is already in descending order, so state. Give the degree of each polynomial.$2 x^{3}+7 x^{2}-9 x-13$

Name: Problem 20, Chapter 5: Intermediate Algebra for College Students
Uploaded: 2020-05-10T04:19:36-08:00
Duration: 52 s
Channel: Julie Silva
Description: Write each polynomial in descending order of the variable x. If the polynomial is already in descending order, so state. Give the degree of each polynomial.2 x^3+7 x^2-9 x-13

   Write each polynomial in descending order of the variable $x$. If the polynomial is already in descending order, so state. Give the degree of each polynomial.$2 x^{3}+7 x^{2}-9 x-13$

Intermediate Algebra for College Students

Allen R. Angel;… 10th Edition

Chapter 5, Problem 20

Instant Answer

Solved by Expert Julie Silva

05/10/2020

Step 1

The given polynomial is $2x^3 + 7x^2 - 9x - 13$. The terms are already arranged in descending order of the variable $x$. Show more…

Show all steps

Thanks for your feedback!

Write each polynomial in descending order of the variable $x$. If the polynomial is already in descending order, so state. Give the degree of each polynomial.$2 x^{3}+7 x^{2}-9 x-13$

Play audio

Feedback

Julie Silva and 96 other educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Polynomial

A polynomial is an algebraic expression consisting of variables, coefficients, and non-negative integer exponents, combined using addition, subtraction, and multiplication. It represents a sum of terms, each being a product of a coefficient and a power of a variable.

Descending Order

Arranging a polynomial in descending order means order the terms such that the exponents of the variable decrease from the first term to the last. This standard form makes it easier to identify the degree and perform operations like addition, subtraction, or differentiation.

Degree of a Polynomial

The degree of a polynomial is the highest exponent of the variable among all the terms with non-zero coefficients. It indicates the highest power of the variable that appears when the polynomial is written in standard form, and it provides insight into the behavior of the polynomial function.

Please give Ace some feedback