Find a degree 3 polynomial with real coefficients having zeros 4 and 4i and a lead coefficient of 1. Write P
in expanded form. Be sure to write the full equation, including P(x) = .

Answers

Answer 1

Answer:

P(x)= x^3 - 4x^2 + 16x - 64

Step-by-step explanation:

First, let’s find all of the zeroes. If the question is asking for a degree 3 polynomial, than there has to be more than 2 zeroes. The complex conjugates theorem states that if a+bi is a zero, than a-bi has to be a zero as well. So if 4i is a zero, than -4i has to be a zero as well. By looking at the zeroes, you can write them as a linear factorization.

(x-4)(x+4i)(x-4i)

If you foil all of it, you will get x^3 - 4x^2 + 16x - 64.


Related Questions

Find two numbers that round to 387.4 when rounded to the nearest tenth. Drag the numbers to the box.

Answers

Answer: By using the rounding rule.

Step-by-step explanation:

387 x 397 => 387.4

384 x 352 => 387.4

Write an equation for the graph.

Answers

Answer: y=5/3x+3

Step-by-step explanation: remember rise over run meaning y over x next where the y intersect is is the b in the equation

Sonal and Gaurav have 2 numbers written on a piece of paper. Sonal's number PQR is divisible by
3 and 4. Gaurav's number STU is divisible by 2 and 9.
The two numbers are joined to form a new 6-digit number PQRSTU as shown.
The number PQRSTU IS DEFINITELY divisible by
A 4 B 6 с 8 D 9

Answers

PQRSTU is definitely divisible by 4.

Since Sonal and Gaurav have 2 numbers written on a piece of paper, and Sonal's number PQR is divisible by 3 and 4, while Gaurav's number STU is divisible by 2 and 9, and the two numbers are joined to form a new 6- digit number PQRSTU, to determine the number by which the number PQRSTU is definitely divisible by, the following logical reasoning must be performed:

Since the numbers are not added mathematically, but joined numerically, and that STU is the last number in the row, and that it is divisible by 3 and 4, while only 4 is among the options, the number PQRSTU is definitely divisible by 4.

Learn more about maths in https://brainly.com/question/20010402

#6 Solve the inequality.
6w <-42

Answers

Answer:

w < -7

Step-by-step explanation:

Do -42 divided by 6 and keep the sign the same.

You get w < -7.

Hope this helps! :)

Estimate the product. Then find the actual product
483 x 9.3
please label the actual product and the estimate

Answers

Actual Product:

4491.9

Estimated Product:

4492

How is it 4492?

4491.9

The 9 is greater than 5 making it go up,

aka, making the 1 turn into a 2.

a/m = b + c i need to make “a” the subject of the formula

Answers

a = bm + cm

hope it helped !

Someone please help me with this it’s an emergency

Answers

Answer:

The answers are given in the photo

help plzz) A teacher made a copy of a map. To make the map easier to see, the teacher enlarged the area of the map by 38%. Let d represent the area of the original map. The expression d +0.38d is one way to represent the area of the new map. Write two expressions that represent the area of the new map.​

Answers

Answer:

first expressions = 1.38d

second expressions = (1 + (38/100)d

Shameka buys a blue garden hose that is 16.5 feet long and a green garden hose that is 14.75 feet long. How many feet of garden hose does she buy?

Help please?​

Answers

Answer:

21.25 feet

Step-by-step explanation:

16.5 feet

+14.75

=21.25 feets

Add the two together and you get 31.25

Given f(x) = -x+ 6 and g(x) = f(x + 3), write an equation for function g.
plz help

Answers

Answer:

equation of g(x) is 3-x

f(x)= -x+6 g(x)=f(x+3)

then,,

f(x+3)=-(x+3)+6 =-x-3+6 = 3-x

ie.. g(x)=3-x

Work out m and c for the line:3x + 2y−1 =0

please help quickly

Answers

Answer:

m=-1.5 and c=0.5

Step-by-step explanation:

3x+2y-1=0

divide everything by 2, to get y.

3x/2=1.5x, -1/2=-0.5.

then separate 1.5x and -0.5 from y (put them on the other side)

there, y=-1.5x+0.5

m=-1.5, and c=0.5

Find x, given the slope is -2. (x,-6) (-6,10)

Answers

Answer:

x= 2

Step-by-step explanation:

[tex]\boxed{slope = \frac{y _{1} - y_2}{x_1 - x_2} }[/tex]

Substitute known values into the formula:

[tex] - 2 = \frac{ - 6 - 10}{x - ( - 6)} [/tex]

[tex] - 2 = \frac{ - 16}{x + 6} [/tex]

-2(x +6)= -16

Divide both sides by -2:

x +6= -16 ÷(-2)

x +6= 8

Subtract both sides by 6:

x= 8 -6

x= 2

Baby Deirdre wants to arrange 8 blocks in a row. How many different arrangements can the baby make?
There are
ways to arrange the 8 blocks.

Answers

I did some research and I think the answer is 255

1.) Jacob bought a total of 9 pizzas for his class party. The amount of
large pizzas was twice the amount of medium pizzas. How many large
and how many medium pizzas did he buy?
Equation #1:
Equation #2:
Large Pizzas:
Medium Pizzas:
what’s the equations

Answers

He purchased 6 large pizzas and 3 medium pizzas.

Answer:

Equation 1: L+M=T

Equation 2: 2M=L

Large Pizzas: 6 pizzas

Medium Pizzas: 3 Pizza

Step-by-step explanation:

Equation 1 looks like L+M=T where L is large pizza, M is medium pizza and T is Total of pizzas. The second one would look like 2M=L, to represent how twice the amount of medium pizza equal large pizza. If you were using different variables it would look like X+Y=Total, and 2X=Y.

What is the approximate value of x?

Answers

Answer:

25

Step-by-step explanation:

Answer: The answer is 25.

Have a great Day/Night!

True or false: (log x)2 = 2logx. Explain your thinking.

Answers

False
Well we can’t put 2 log x it’s opposite it’s 2 x log

_________________ help the group manage relationships

a.

Social roles

b.

Leadership roles

c.

Task roles

d.

Individual roles



Please select the best answer from the choices provided


A

B

C

D

Answers

Answer:

B

Step-by-step explanation:

     Leadership roles help the group manage relationships

[] Leadership is the action of leading a group of people or an organization, so this best completest the answer

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

x²+1=2x
hope someone can help thanks!​

Answers

Answer:

I think it’s x=1

Answer:

Step-by-step explanation:

x^2 + 1 = 2x

x^2 - 2x + 1 = 0

Factor (x - 1) ( x - 1)

x = 1

if 2-5 = -4 then x =



please answer

Answers

Answer:

1

Step-by-step explanation:

2-5=x-4

subtract the common factors

-3 = x-4

add 4 to both sides so get x by itself

1 = x

Miss Watson runs a distance of 200 meters in 25 seconds.
Work out the average speed of Miss Watson in meters per second?

Answers

Step-by-step explanation:

D = 200m T = 25s

The formula for speed is speed = distance ÷ time

S = 200 ÷ 25

S = 8m/s

-2x(-3x +2)- (x+2)2
giúp tôi với!

Answers

Answer:

-32 or 4x -8

Step-by-step explanation:

-2 ( -3x + 2 ) : 6x - 4

= 6x -4 - 2 ( x + 2 )

- 2 ( x + 2 ) : - 2x -4

=6x - 4 - 2x - 4

= 6x -2x - 4 - 4

= 6x - 2x - 8

= 4x - 8

= -32  

( Im not really sure what is the answer )

( the "x" is alphabet, not "times" )

Ok done. Thank to me :>

help help help help help help help help

Answers

Answer:

necklace

Step-by-step explanation:

It is the only one with a negative elevation

✺༒Question༒✺

Refer to attachment

Nonsence answer will get report​

Answers

Answer:

Hey mate.....

Step-by-step explanation:

This is ur answer.....

(i) 64(ii) 729(iii) 121(iv) 625

Hope it helps!

Brainliest pls!

Follow me! :)

Answer:

REFER TO ATTACHMENT

I HOPE IT IS HELPFUL

please please look at the picture and see if you can help!!!! i’m struggling so badly!

Answers

Can u take another one it’s blurry

James is planning to spend $425 on food for his vacation this summer. This is 34% of his total vacation budget. How much is James' total vacation budget?

Answers

1250$,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,

Colin invests £2350 into a savings account. The bank gives 4.2% compound
interest for the first 4 years and 4.9% thereafter. How much will Colin have after
10 years to the nearest pound?

Answers

Answer:

Answer:

£3692

Step-by-step explanation:

A = p(1 + r/n)^nt

Where,

A = future value

P = principal = £2350

r = interest rate = 4.2% = 0.042

n = number of periods = 1(annual)

t = time = 4 years

A = p(1 + r/n)^nt

= 2350(1 + 0.042/1)^1*4

= 2350(1 + 0.042)^4

= 2350(1.042)^4

= 2350(1.5789)

= 2770.42

A = £2770.42

Total years = 10

Remaining years = 10 – 4

= 6 years

Remaining 6 years

P = £2770.42

r = 4.9% = 0.049

n = 1

t = 6

A = p(1 + r/n)^nt

= 2770.42(1 + 0.049/1)^1*6

= 2770.42(1 + 0.049)^6

= 2770.42(1.049)^6

= 2770.42(1.3325)

= 3691.59

A = £3691.59

Approximately £3692

Thank you!

What is the approximate value of t?

Answers

Answer:

8.48

Step-by-step explanation:

36 + 36 = 72

t^2 = 72

t = 6[tex]\sqrt{2}[/tex] = 8.48

Answer: 6

Step-by-step explanation:

If there are 10 Skittles in a bag, 4 red, 4 green, and 2 purple, and there are 15 M&Ms in the same bag,
3 red, 6 brown, 4 blue, and 2 green, what is the probability of selecting a red piece of candy?

Answers

Answer:

28%

Step-by-step explanation:

(3red+4red)/25candy = 7/25 = 28/100 = 28%

Kashira has 3/9 of a pizza and Laila gave her 1/3 of a pizza. How much pizza does Kashira have now? Please provide your answer in simplest form. (NVM FIGURED IT OUT)

Answers

Answer:4/9 pizzas

Step-by-step explanation:

Write an equation that reflects this relationship using x to represent the amount of fish in grams and y to represent the number of calories.

Answers

Answer:

send the graph and ill solve it

Step-by-step explanation:

Other Questions
Help meee please thank you will mark brainlist. What was an immediate consequence or a fact of the day for the United StatesA. Germany tried to sue for peaceB. Us forces were unable to invade North Africa C. Us troops supplies moved to Europe and toward Germany D. FDR promised Stalin he would get the Marshall Islands if the allies won Roosevelt, Churchill, and Stalin met at Allied conferences throughout the war. Which critique best sums up the extent to which they achieved their goals?. please tell me how do I answer questions. I repeat I need to know how to answer the questions? tell me please What is the length of LN in the right triangle below? What role did Eleanor Roosevelt play as the First Lady What was the Anti-Federalist stance on people's rights and the Constitution?A. The Constitution did little to protect the rights of citizens.B. The Constitution gave too many rights to common people.C. The Constitution should remove the social contract, which forced citizens to do things against their will.D. The Constitution ensured that the government would be limited in its power................................................................................................................................Why did Alexander Hamilton support the Constitution?A. A small executive branch made it easier for one person to convince people around them to act.B. A strong government encouraged disagreements and debate.C. A smaller executive branch made it easier for people to keep an eye on who was running the government.D. A strong government prevented people from having too much freedom. In the past two years, the situation in the United States has been turbulent, with C O V I D-19's reasons, and the reasons for the previous presidential election. Some of them have begun to become independent. In Texas, the headquarters of the Republican Party, many local republican government members believe that the election results are fraudulent, so they are very dissatisfied with Biden and the Democratic Party. Later, they violated Biden's administrative instructions for many times. Up to now, even local U.S. congressmen openly support independence and claim that after independence, they will take all the space agency, oil and the army away. However, local people said that if Texas was really independent, Biden would send troops immediately. 4CorrectDrag each label to the correct location on the image.Name the stages of the water cycle.condensatio17precipitatiomSITevaporationrunoffFreegroundwatNext How do chemists predict the shapes of molecules? Due to the repulsion between electrons, valence electrons will be arranged as close to each other as possible. Due to the attraction between electrons, valence electrons will be arranged as close to each other as possible. Due to the repulsion between electrons, valence electrons will be arranged as far apart from each other as possible. Chemists can't predict the shape of molecules, because the attractive forces between valence electrons are unpredictable. Can you please help me this is due really soon and I don't know what to do Round 23.4456 x 6.66 to the nearest ten (my brain isn't cooperating) which bloodborne pathogen has the most chronic cases in the united states Heart, 5 stars, and Brainiest to first right answer!Nicole pushes her bike up a hill. Overhead, the sun exerts a gravitational force on Earth. Which statement is true about the bike and Earth?A. They both experience contact forces.B. They both experience non-contact forces.C. The bike experiences a non-contact force and Earth experiences a contact force.D. The bike experiences a contact force and Earth experiences a non-contact force. how did trade lead to european expansion? The diagram below represents a plant cell in tap water as seen with a compound light microscope.Which diagram best represents the appearance of the cell after it has been placed in a 15% solution for twominutes?SOS(1)(2)(3)(4) how many wives did charlemange have during hiis life? Oceanside Bike Rental Shop charges 13 dollars plus 8 dollars an hour for renting a bike. Tim paid 45 dollars to rent a bike. How many hours did he pay to have the bike checked out? factor the expression 14x - 21 using the GCF Which tool is used to request a review of the diagnosis code on an account