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
TiliK225 [7]
3 years ago
6

Part A- Create a fourth degree polynomial in standard form. How do you know it is in standard form?

Mathematics
1 answer:
Alexeev081 [22]3 years ago
7 0

Answer:

(a)2x^4-9x^3+x^2+x-5

Step-by-step explanation:

(a)The degree of a polynomial is the highest power of the unknown variable in the polynomial.

A polynomial is said to be in standard form when it is arranged in descending order/powers of x.

An example of a fourth degree polynomial is: 2x^4-9x^3+x^2+x-5

We know the polynomial above is in standard form because it is arranged in such a way that the powers of x keeps decreasing.

(b)Polynomials are closed with respect to addition and subtraction. This is as a result of the fact that the powers do not change. Only the coefficients

change. This is illustrated by the two examples below:

(2x^5-3x^2+x)+(3x^5-5x^2)\\=2x^5-3x^2+x+3x^5-5x^2\\=5x^5-8x^2+x\\$Similarly\\(2x^5-3x^2+x)-(3x^5-5x^2)\\=2x^5-3x^2+x-3x^5+5x^2\\=-x^5+2x^2+x

The degrees do not change in the above operations. Only the number beside each variable changes. Therefore, the addition and subtraction of polynomials is closed.

You might be interested in
What is the least common denominator for adding the fractions 4/15, 1/12, and 3/8
olganol [36]
120 the numbers go evenly into 120. 
8 0
3 years ago
Read 2 more answers
Six students are working to simplify the expression shown.
neonofarm [45]

Answer:

it's going to be

-8x^2+14x^2+4y+y-5-1=

6x^2+5y-6

Step-by-step explanation:

hope this is what u are looking for

have a nice day

4 0
3 years ago
Cual es el peso de un niño si su masa es de 21kg? Por fa estoy en examen
ZanzabumX [31]

Answer:

Step-by-step explanation:

) Big companies own most of the assets

(b) Government owns the assets

(c) A group of people owns most of the assets

(d) An individual owns most of the assets

4 0
3 years ago
The height of a door would be about <br><br> A: 8 inches<br> B: 8 feet<br> C: 8 yards<br> D: 8Miles
liq [111]

8 inches :) (im pretty sure)

8 0
3 years ago
Read 2 more answers
If two lines intersect at a right angle, then they are perpendicular
kipiarov [429]

This is TRUE!

The definition for perpendicular only applies when the lines are at a right angle which is 90°

4 0
3 years ago
Other questions:
  • Nelson grows tomatoes and sells them at a nearby farmers roadside stand. He sells them for $2.50 each. The farmer charges him $1
    5·1 answer
  • What is the length of AC?
    6·2 answers
  • You have a bag full of letters and they spell SUMMER what is the probability of grabbing an m?
    10·1 answer
  • 9x + 4 = -5x + 14 + 13x
    6·1 answer
  • Mean:<br>median:<br>mode:<br>plz help
    8·2 answers
  • Frank buys an item for $6.09. He gives the cashier a $50 bill. How much money should Frank get back?
    10·1 answer
  • Hannah’s favorite toy character is sold wearing one of many outfits. An outfit consists of one shirt, one pair of pants, and one
    15·1 answer
  • A caterer charges a setup fee of $50, plus $20 per person. Write an equation representing the total charge for the catering.
    8·1 answer
  • Have you been to the doctors lately cause it seems like you lack in vitamin me what does it mean?
    5·2 answers
  • Pl3sssssssssssssssssssssssssssss
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!