Mathematics College

find all the zeros in the indicated finite field of the given polyomial with coefficients in that field x^5 3x^3 x^2 2x

Answers

Answer 1

Answer:

The answer is "Zeros are 0 and 4".

Step-by-step explanation:

Given equation:

[tex]\to x^5+3x^3+x^2+2x[/tex]

applying the by direct verification:  

[tex]\to \phi_{0} (x^5+3x^3+x^2+2x) =0^5+3 \cdot 0^3+0^2+2 \cdot 0 \\\\[/tex]

                                         [tex]= 0 \ mod \ 5 \\\\[/tex]

[tex]\to \phi_{1} \ (x^5+3x^3+x^2+2x) =1^5+3 \cdot 1^3+1^2+2 \cdot 1 \\\\[/tex]

                                          [tex]= 1+3+1+2 \ mod \ 5 \\\\ = 2 \ mod \ 5[/tex]

[tex]\to \phi_{2} \ (x^5+3x^3+x^2+2x) =2^5+3 \cdot 2^3+2^2+2 \cdot 2 \\\\[/tex]

                                          [tex]= 2+4+4+4 \ mod \ 5 \\\\ = 4 \ mod \ 5[/tex]

[tex]\to \phi_{3}\ (x^5+3x^3+x^2+2x) =3^5+3 \cdot 3^3+3^2+2 \cdot 3 \\\\[/tex]

                                          [tex]= 3+1+4+1 \ mod \ 5 \\\\ = 4 \ mod \ 5[/tex]

[tex]\to \phi_{4} \ (x^5+3x^3+x^2+2x) =4^5+3 \cdot 4^3+4^2+2 \cdot 4 \\\\[/tex]

                                          [tex]= 4+2+1+3 \ mod \ 5 \\\\ = 0 \ mod \ 5[/tex]

Related Questions

Find m AB and CD intersect at point E

Answers

Answer is x=12 so can is 51(c)

Hours and hours would be a good example of ?

Answers

Answer:

60 minutes

Step-by-step explanation:

What is the missing side length of the triangle below?
49 m
87 m

Answers

The missing side length is approximately 99.84 m

please helpppp .....​

Answers

3) There are 10 sides, so the sum of the angles is [tex]180(10-2)=1440^{\circ}[/tex]

4) There are 9 sides, so the sum of the angles is [tex]180(9-2)=1260^{\circ}[/tex].

Please answer thank you !!!

Answers

Answer:

-3x³ - 4x² + x - 9

Step-by-step explanation:

 -5x³ + 2x² + x - 7

- (-2x³ + 6x² + 0 + 2)     remember:  when you subtract, you 'add the opposite'

 -3x³ + (-4x²) + x + (-9)

Use a calculator to find 5 as a percentage of 135 correct to 1 decimal place.

Answers

Step-by-step explanation:

[tex] \frac{5}{135} \times 100\% = 3.703\% \\ \\ = 3.7\%[/tex]

Need help with these

Answers

Answer: OOF

Step-by-step explanation: that looks hard

Suppose that the local sales tax rate is 3% and you purchase a car for $26,500 a. How much tax is paid? b. What is the car's total cost? a. The amount of tax paid is $​

Answers

Answer: a)1,968 b) 34,768

Step-by-step explanation:

Answer:

A. $7,950 B. $34,450

Step-by-step explanation:

a. 26,500 x .3 = 7950

b. 26500 + 7950 = 34450

PLS HELP MEEEEEE! THIS IS DUE TODAY!
plz don't answer if you don't know the answer or I will report

Ashton is saving money to buy a new bike. He needs $300, but he has only saved $21 so far. What percent of the money he needs has he saved already?

Answers

Answer:

He has saved %7 of what he needs for the bike

Step-by-step explanation:

21: 300 x 100 =

(21 x 100): 300 =

2100: 300 = 7

         </3 PureBeauty

Answer:

300-21=279

Step-by-step explanation:

Match each term with its definition.

Answers

Answer:

that is the answer

mark me as brainliest kid

least to greatest 1 milliliter 1 liter 1 kiloliter 1 centiliter

Answers

Answer:

1 liter 1milliter 1 kiloliter 1 centiliter

Step-by-step explanation:

hope it helps

Answer:

1 milliliter, 1 centiliter, 1 liter, 1 kiloliter

Step-by-step explanation:

BRAINLIEST
look at the picture for the question, also please leave a small explanation :)

Answers

Answer:

C

Step-by-step explanation:

the explanation is there :)

hope this helps <3

Which of the following is INCORRECT

Answers

Answer:

A

Step-by-step explanation:

How dum are u ??????????????????????

Answers

Answer:

very

Step-by-step explanation:

my brain is very smooth

PLEASE HELP ME PLEASE

Answers

Answer:

y = -2x + 10

Step-by-step explanation:

y = mx + b is slope-intercept form where 'm' is the slope and 'b' is the y-intercept

use the point (2, 6), where 2 is the x-value and 6 is the y-value, and slope of -2 to find the y-intercept:

6 = (2)(-2) + b

6 = -4 + b

b = 10

y = -2x + 10

HELP ME PLEASE ☹️☹️☹️☹️☹️☹️☹️☹️☹️☹️☹️☹️

Answers

Answer:

x=85

Step-by-step explanation:

The angle as a whole equals 180 so to find x you just subtract 95 from 180.

WILL GIVE BRAINLIEST Use the given scale factor and the side lengths of the scale drawing to
determine the side lengths of the real object.

Answers

d is the right answer

Answer:

d because i just did lol and i forgot how i did it will i will comment if i rememeber ok

Step-by-step explanation:

Choose three different colors to highlight the Statement in the proof and match it to it's angle or line segment in the diagram. Then use the textbox feature to write your 'Analysis' of the proof.

Will mark brainliest and 100 points and I attached an example and the one you are supposed to solve is also attached. Thank you

Answers

Answer:

See the attached

Step-by-step explanation:

The highlights are attached

If F(x) = 9x, which of the following is the inverse of Fx)?

Answers

Answer:

F⁻¹(x) = x/9

Step-by-step explanation:

To find the inverse of a function, you want to switch x and y in the equation and solve for y.

F(x) = 9x

x = 9F(x)

x/9 = F⁻¹(x)

Therefore, the inverse is F⁻¹(x) = x/9.

Answer:

Step-by-step explanation:

To keep a heavy box sliding across a carpeted floor at constant speed, a person must exert a force on the box. This force is used primarily to overcome which of the following forces?
A. Air resistance.
B. The weight of the box.
C. The frictional force exerted by the floor on the box.
D. The gravitational force exerted by the Earth on the box.

Answers

Answer:

D bcuz without gravity everything would be floating and you wouldn't get it anywhere

Answer:

It’s c

Step-by-step explanation:

If A={g,y,m,n,a,s,t,i,c} and U={a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x,y,z}, find A′.

Answers

is this a free point?

Tessa has already taken 2 pictures at home, and she expects to take 1 picture during every day of vacation. How many days will Tessa have to spend on vacation before she will have taken 19 pictures?

Answers

Answer:

she will have to spend 16 days to take 19 pictures

Step-by-step explanation:

3+16=19

I need this math question solved fast please!!!

Answers

Answer:

5 2/3

Step-by-step explanation:

I believe it is B or C!

What is the value of x?
33
55
36
10.8
43.2

Answers

Answer:

33

Step-by-step explanation:

Complete the table.
(Type whole numbers or decimals.)

Answers

Answer:

116

58

522

754...........

I believe the chart goes like this 116 58 522 754

If 12 gallon of paint covers 18 of a wall, then how many quarts of paint are needed for the entire wall?

Answers

Answer: 16 quarts

Step-by-step explanation:

There are 4 quarts per 1 gallon.

You need 4 gallons total to cover the wall.

4 x 4=16

Six hundred and seventy-four ten-thousandths in decimal form​

Answers

Answer:

600.0074

Step-by-step explanation:

0.674

Hope this helps!! Good luck. :))

plzzzzzzz helllp failing

Answers

Answer:

i belive a or c please tell me if i waz wroung

The dot plot shows the number of hours, to the nearest hour, that a sample of 5th- and 7th-grade students spend watching television each week. How do the medians compare?

The 5th-grade range is

.

The 7th-grade range is
.

The ratio of variation of 5th grade to 7th grade is

Answers

Answer:

Step-by-step explanation:

indicated quotient of two mathematical expressions. b : the relationship in quantity, amount, or size between two or more things : proportion. 2 : the expression of the relative values of gold and silver as determined by a country's currency laws.

Answer:

The 5th-grade range is

✔ 7

.

The 7th-grade range is

✔ 7

.

The ratio of variation of 5th grade to 7th grade is

✔ 1

.

Step-by-step explanation:

i did it on e d g e n u i t y 2 0 2 0 while listening to throne by bring me the horizon

Select the line that represents y=3x

Answers

Answer:

The first one is correct

Step-by-step explanation:

hope it helps ^^

Answer:

Graph C

Is the correct.

MARK BRAINLIEST (RELOAD AND CLICK THE CROWN)

Other Questions
What tab on the Ribbon would you select to create a Photo Album? Design Animation Home Insert Applying Main IdeasAfter the government ordered the removal of all American Indians from Illinois,a.Black Hawk attacked a militia led by Isaiah Stillman.b.the Sauk fought until they ran out of supplies.c.Black Hawks followers killed three delegates of a peace convention sent under a white flag to Saukenuk.d.Sauk forces attacked U.S. troops as they attempted to retreat across a river. what is 34.16 divided by 2 alright heres another one Please help I need 20 characters to submit this Answer that is why the is more words here answer the question below Read this passage.Childhood obesity is a serious problem in the United States putting children and adolescents at risk for poor health. Obesity prevalence among children and adolescents is still too high.For children and adolescents aged 219 years, the rate of obesity was 18.5% and affected about 13.7 million children and adolescents.Child Obesity Facts, Centers for Disease ControlWhich detail best supports the idea that obesity affects children of all ages?O Obesity puts children and adolescents at risk.O The number of obese children is too high.O 18.5% of people aged 219 are obese.O Childhood obesity is a big problem in the United States. Add -3 + (-3) = Please help me What are the 3 types of plate boundaries and their movement in relationship to anotherplate? Complete the explanation to model a real world situation that could be modeled by the equation 9m3m=1,728The ratio of peanuts to raisins in a snack mix is 9 to ____. If there are ____ peanuts and raisins in the mix, how many raisins and how many peanuts are there? Nickel Inc. bought $500,000 of 3-year, 6% bonds as an investment on December 31, 2017 for $530,000. The investment receives interest annually and Nickel uses straight-line amortization. On May 1, 2018, the issuer retired $100,000 of the bonds at 116. As a result of the retirement, Nickel will report a: What is the missing reason in the proof? which area of the US do you think was most difficult to buld track across and why Do any law enforcement agencies place restrictions on candidates if prior drug use or criminal record is known? Match the definitions below with the correct component of the scientific method:1. Analyze your data and relate it back to your hypothesis. 2. Define a problem to focus the goal of your experiment.3. Obtain information while conducting your experiment.4. Make a prediction about the outcome of your experiment5. Use your senses to gather information around you.6. Design an experiment and conduct trials to assess your hypothesis.a. Make observationsb. Conduct testingc. Collect datad. Draw conclusionse. Ask questionsf. Form a hypothesis Can anyone give me $2 (Reddem code/Promo Code) Find the mode of the following number of countries randomly selected travelers visited in the past two years. 13,13,15,7,8,4,4,7,13 A rotating sprinkler that sprays water at a radius of 11 feet is used to water a lawn. Determine the area of the lawn that is watered. Round your answer to two decimal places. is gravity present throughout space explain In your own words tell me about the live cycle of a star (4-5 sentences)