Cory writes the polynomial x7 + 3x5 + 3x + 1. Melissa writes the polynomial x7 + 5x + 10. Is there a difference between the degree of the sum and the degree of the difference of the polynomials?

Adding their polynomials together or subtracting one polynomial from the other both result in a polynomial with degree 7.
Adding their polynomials together or subtracting one polynomial from the other both result in a polynomial with degree 5.
Adding their polynomials together results in a polynomial with degree 14, but subtracting one polynomial from the other results in a polynomial with degree 5.
Adding their polynomials together results in a polynomial with degree 7, but subtracting one polynomial from the other results in a polynomial with degree 5.

Question

02-04-2020
Mathematics

contestada

Cory writes the polynomial x7 + 3x5 + 3x + 1. Melissa writes the polynomial x7 + 5x + 10. Is there a difference between the degree of the sum and the degree of the difference of the polynomials?

Adding their polynomials together or subtracting one polynomial from the other both result in a polynomial with degree 7.
Adding their polynomials together or subtracting one polynomial from the other both result in a polynomial with degree 5.
Adding their polynomials together results in a polynomial with degree 14, but subtracting one polynomial from the other results in a polynomial with degree 5.
Adding their polynomials together results in a polynomial with degree 7, but subtracting one polynomial from the other results in a polynomial with degree 5.

Respuesta :

Otras preguntas

The united states economy is experiencing high inflation and real gdp is greater than potential gdp. Describe the actions taken by the fed to restore full emplo

A single card is drawn from a standard 52-card deck. find the conditional probability that the card is a club, given that it is a ten______

Which is a substantiated opinion? one of the largest computer companies began in a garage. small businesses are the reason america has a strong economy. experie

Which style of interaction might seem to be the only way for couples whose backgrounds are completely irreconcilable to survive?

A square field was enlarged by adding 5 feet to the length and width of the original field. if the area of the enlarged field is 576 square feet, what was the s

Societies, like organisms, consist of multiple interrelated parts, and they can be analyzed in terms of the relationships between these parts and the whole of s

The process of transforming materials, labor, and energy into goods or services is termed as _____

Consider the quadratic equation x2 + 2x - 35 = 0. Solve by factoring and using the zero-product property. What are solutions to quadratic equations called? Show

A manager implements a policy that requires bartenders to record all drink sales prior to making drinks. which revenue control task does this policy directly ad

Four perspectives are integrated to form the balanced scorecard framework. the financial perspective focuses on the view of the firm by the:_______

AFOKE88 AFOKE88 · Answer 1 · 2022-02-23T12:30:16+01:00

The difference between the degree of the sum and the degree of the difference of the polynomials is;

D: Adding their polynomials together results in a polynomial with degree 7, but subtracting one polynomial from the other results in a polynomial with degree 5.

How to find the degree of a Polynomial?

We are given the polynomials as;

Cory: x⁷ + 3x⁵ + 3x + 1

Melissa; x⁷ + 5x + 10

The degree of a polynomial is the highest exponent in that polynomial Thus, when we add both polynomials, we get;

x⁷ + 3x⁵ + 3x + 1 + x⁷ + 5x + 10 = 2x⁷ + 3x⁵ + 8x + 11

This is a degree 7 polynomial.

Subtraction of both polynomials gives;

x⁷ + 3x⁵ + 3x + 1 - x⁷ - 5x - 10 = 3x⁵ - 2x - 9

Read more about Degree of Polynomials at; https://brainly.com/question/12700460

hinojoselijah hinojoselijah · Answer 2 · 2022-02-24T21:49:36+01:00

hinojoselijah hinojoselijah

24-02-2022

Answer:

dddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd

Step-by-step explanation:

Answer Link