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
Write the missing addend that makes the number sentence true.<br> 8+5=10 + -------
stepan [7]

Answer:

3

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
HELP PLEASEEEE!What is the domain of the function shown in the graph below? THE DOMAIN
vredina [299]

Answer:

It looks like (-1, ∞)

Step-by-step explanation:

7 0
3 years ago
A bicycle wheel with a radius of 12 inches makes 5.2 revolutions per second. what is the speed of the bicycle
ryzh [129]
<span>πr^2
</span><span>π x 12^2 = 452.3
</span>452.3 * 5.2(RPS) = 2352.4
Conversion from inches p/s to mph
2352.4ip/s = 2.23mph.

Hope this helps.

7 0
3 years ago
HHEELLPP!!!!!!
umka2103 [35]

You can use substitution or elimination method to solve.  <em>I used substitution.</em>

2(1/2y + 5) + 3y = -14

y + 10 + 3y = -14

4y + 10 = -14

4y = -24

y = -6

x = 1/2y + 5  = 1/2(-6) + 5   = -3 + 5  = 2

x = 2, y = -6

Answer: A

8 0
3 years ago
Mattie has a rain barrel that holds 150 L of rainwater. She uses the rainwater from the barrel to water her plants. If she gives
ra1l [238]

Answer:

500 plants

Step-by-step explanation:

Total capacity of barrel = 150 L

1 liter = 1000 mL

Total capacity of barrel in mL = 150*1000 mL = 150,000 mL

amount of water given to each plant by Mattie = 300 mL

Let there be x plants

Then, total amount of water given to x plant by Mattie = 300*x mL

We know that full  rain barrel has 150,000 mL

so total amount of water given to x plant by Mattie should be equal to full  rain barrel capacity.

Substituting value of full rain barrel capacity and total amount of water given to x plant  

Mathematically it can be written as

total amount of water given to x plant by Mattie = full rain barrel capacity

300*x mL = 150,000 mL

=> x = 150,000/300 = 500

Thus,  500 plants can she water with a full rain barrel.

7 0
3 years ago
Other questions:
  • What is -0.009 to the second power
    14·1 answer
  • Help please! I have to do this math test and I dont understand ​
    14·1 answer
  • A circle has the equation
    15·1 answer
  • Marna is playing a game where you score −5 points each time youguess the correct answer. The goal is to get the lowest score. To
    12·1 answer
  • The square tile has a side length of 10.5.What power can you write to represent the area of the tile?Write the power as an expre
    14·1 answer
  • Marco deposited $500 in a savings account earning 4% interest over 5 years.
    13·1 answer
  • If 1m = 3.3 ft, how many cubic feet is the Kuroshio Sea tank? Volume is 9,450. Show your calculations!
    13·1 answer
  • 200z + 50 = 8000 solve this problem
    11·1 answer
  • Krista has a garden that is 5 yards by
    15·1 answer
  • EASY MATH QUESTION pls help asap
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!