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
zloy xaker [14]
3 years ago
6

Select the correct answer.

Mathematics
1 answer:
mariarad [96]3 years ago
6 0

Answer:

B.

f(x) and g(x) are closed under subtraction because when subtracted, the result will be a polynomial.

Step-by-step explanation:

f(x)-g(x)\\=(a_0+a_1x+a_2x^2...+a_nx^n)-(b_0+b_1x+b_2x^2...b_mx^m)

Assume m>=n WOLOG

=(a_0-b_0)+(a_1x-b_1x)+(a_2x^2-b_2x^2)+...+(a_nx^n-b_nx^n)-b_{(n+1)}x^{n+1}-...-b_{m-1}x^{m-1}-b_mx^m

=(a_0-b_0)+(a_1-b_1)x+(a_2-b_2)x^2+...+(a_n-b_n)x^n-b_{(n+1)}x^{n+1}-...-b_{m-1}x^{m-1}-b_mx^m

Are also a polynomial in general, but maybe in a different degree

Closure under subtraction means, for all polynomials, under the operation of subtraction, it also belongs to polynomials

You might be interested in
Solve the following system of equations by using the inverse of a matrix.
Zepler [3.9K]

Answer:

(x, y, z) = (-8,4,-2)

Step-by-step explanation:

.......................................

6 0
4 years ago
What is the measure of m&lt;3<br>A. 58 degrees<br>B. 122 degrees<br>C. 116 degrees<br>D. 64 degrees​
Firdavs [7]

Hello!

\large\boxed{\text{ D. 64 degrees}}

Angles in a triangle sum up to 180°, so:

180° = 58° + 58° + m∠3

Combine and subtract:

180° = 116° + m∠3

64° = m∠3

Thus, the answer is D.

5 0
3 years ago
Read 2 more answers
What is the area of this figure?
Lorico [155]
Each little square is 1 inch high and 1 inch wide, so
the area of each little square is 1 square inch.

The bug figure is made of 23 little squares, so the area
of the big figure is 23 square inches.
5 0
4 years ago
A recipe requires 3/4 cup of water. Farha has a measuring cup that is marked only in ounces, but she knows that 8 ounces is equi
Alik [6]
1 cup = 8 ounces
3/4 cup = 8*(3/4)
3/4 cup = 6 ounces

She will add 6 ounces of water as it is equivlent to a 3/4 cup
6 0
3 years ago
How many ft are in 800 sq ft?
shusha [124]

Answer:

800 ft are in 800 sq ft.

7 0
3 years ago
Other questions:
  • Which of the following represent a linear inequality in open-sentence form? (Select all that apply.) 2x - 7y &gt; 10, 3 &lt; 5,
    14·2 answers
  • David read 40 pages of a book in 50 minutes how many pages should be able to read in 80 minutes
    11·1 answer
  • What does “is” mean in math
    6·2 answers
  • In 2013 Traci joined a swim club. The fees were £600 per year in 2013. Each year the fees increase by 6%. Calculate, to nearest
    14·1 answer
  • 2/3 of a number is 28 what is that number​
    13·1 answer
  • Mikel gave a $1.32 tip for an order that cost $8.80. Determine whether or not each tip below is proportional to Mikel's tip. $2.
    14·1 answer
  • If cot x=v3, calculate (sin x)(cos x)-cos²x
    13·1 answer
  • My sister has trouble once again
    12·1 answer
  • Write a equation of the line below.
    15·1 answer
  • Hello can someone help me plz
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!