1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
marshall27 [118]
2 years ago
5

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?.
Mathematics
1 answer:
bagirrra123 [75]2 years ago
4 0

Degree of a polynomial gives the highest power of its terms. Yes there is a difference between the degrees of sum and difference of the polynomials.

<h3>What is degree of a polynomial?</h3>

Degree of a polynomial is the highest power that its terms pertain(for multi-variables, the power of term is addition of power of variables in that term).

Thus, in x^3 + 3x^2 + 5, the degree of the polynomial is 3 as the highest power in its terms is 3.

(power and exponent are same thing)

<h3>What are like terms?</h3>

Those terms which have same variables raised with same powers.

For example, x^3 and 3x^3  are like terms since variable is same, and it is raised to same power 3.

For example 4x^2 and x^3 are not like terms as the variables are same but powers aren't same.

The given polynomials are:

c(x) = x^7 + 3x^5 + 3x + 1\\\\p(x) = x^7 + 5x + 10

Their sum is

c(x) + p(x)  = x^7 + 3x^5 + 3x + 1 + x^7 + 5x + 10 = (1+1)x^7 + 3x^5 + (3+5)x + 11\\\\c(x) + p(x) = 2x^7 + 3x^5 + 8x + 11

(only like terms' coefficients can be added (or subtracted) for addition or subtraction of them )

The sum's degree is 7

Their difference is:

c(x) - p(x) = x^7 + 3x^5 + 3x + 1 - x^7 -5x - 10 = (1-1)x^7 + 3x^5  +(3-5)x -9\\\\c(x) - p(x) = 3x^5 - 2x - 9

Difference's degree is 5

Thus, both's degrees are not same.

Thus, Yes there is a difference between the degrees of sum and difference of the polynomials.

Learn more about subtraction of polynomials here:

brainly.com/question/9351663

You might be interested in
I don't know how to answer this | <br><br><br> 6y-29=35
trapecia [35]

Answer:

s

Step-by-step explanation:

8 0
2 years ago
A newspaper subscription costs $60. Mary Ellen can get a discount of 25% off through her work. How much will Mary Ellen pay for
AysviL [449]

Answer:

$45

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
The ratio of savings to expenditure is 2:8 find the savings if the expenditure is 24,000​
WITCHER [35]

Answer:

the savings is 6000

Step-by-step explanation:

We are told that the ratio of savings to expenditure is 2: 8, that is, that person saves 2 when he spends 8.

They tell us to find the savings when the cost is 24,000, so we are left with:

24000 * 2/8 = 6000

which means that when 24000 are spent the savings is 6000

6 0
3 years ago
PLEASEEEE
belka [17]

Answer:

The answer to your questions is: 25 new teachers

Step-by-step explanation:

Data

# of students = 2000

ratio = 3:80 teachers to students

New teachers = ?

Process

I suggest to use rule of three to solve this problem

                     3 teachers ----------------  80 students

                      x                ----------------  2000 students

                  x = (2000 x 3) / 80 = 75 teachers

               Number of initial teachers = 75

The ratio change to 1:20

                     1 teacher -------------------  20 students

                     x             -------------------   2000 students

                     x = (2000 x 1) / 20

                    x = 100 teachers

Number of new teachers = 100 - 75 = 25

3 0
3 years ago
Solve for y in this equation<br> 6( y-1) -9=-5(-3y+5) -3y
saul85 [17]
6(y-1)-9=-5(-3y+5)-3y
6y-6-9=15y-25-3y
6y-15=12y-25
+15. +15
6y=12y-25
+12y +12y
18y=-25
÷18. ÷18
y=-1.38
or -1 19/50
8 0
3 years ago
Read 2 more answers
Other questions:
  • What is the domain of the relation graphed below?
    13·1 answer
  • Hey can you please help me posted picture of question
    5·2 answers
  • I need help with this question please <br> ANSWER ASAP!!!!!!!!
    10·1 answer
  • Write a recursive and explicit rule for each Arithmetic Sequence.
    11·1 answer
  • Afriend gives you a puppy for your birthday and offers to buy fencing for a dog run. What shape gives your puppy more area to ru
    11·1 answer
  • Given the following group of numbers, 8, 2, 9,4, 2, 7, 8, 0, 4, 1, which of the following
    8·2 answers
  • Answer part C. I want step by step on this problem.
    9·1 answer
  • What will be the reciprocal of 4/9 × 45/36​
    8·2 answers
  • The owner of a maple syrup farm is studying the average winter temperature in Fahrenheit and the number of gallons of maple syru
    5·1 answer
  • Choose the best graph that represents the following systems of linear inequality.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!