Find a degree 3 polynomial whose coefficient of x^3 equal to 1. The zeros of this polynomial are -5, -4i, and 4i. Simplify your answer so that it has only real numbers as coefficients.

I got an answer by solving (x^3+5x^2-16x-80) but it says thats incorrect.​

Answers

Answer 1

Answer:

x^3+5x^2+16x+80

Step-by-step explanation:

You know that you can write your polynom this way : (x-r1)(x-r2)(x-r3) with r1,r2 and r3 the roots so you get :

(x+5)(x+4i)(x-4i)

Simplify (x+4i)(x-4i) with the formula (a-b)(a+b)=a²-b²

so you have (x^2+16)=(x+4i)(x-4i)

Your polynom looks like this :

(x^2+16)(x+5) just expand it

and you get x^3+5x^2+16x+80


Related Questions

There is exactly 1 pair of parallel sides in the following shape.

Answers

The 7 unit side and the unit 10

since they are both perpendicular to the same 8 unit side

:)


What is the solution set?

Answers

Answer:

5'3

Step-by-step explanation:

trust me I know what im talking about

A manager drew this box-and-whisker plot to represent the number of minutes each of his 27 employees took on their break. Each employee took a different amount of time.

How many employees took a break longer than 49 minutes?

Enter your answer in the box.

Answers

Answer:

6

Step-by-step explanation:

Longer than 49 is only 25% percentile.

27  X .25 = 6.75

Employees are whole numbers, therefore the answer is 6.

Answer:

6

Step-by-step explanation:

Larissa dives into a pool that is 8 feet deep. She touches the bottom of the pool with her hands 6 feet horizontally from the point at which she entered the water.

What is the approximate angle of elevation from the point on the bottom of the pool where she touched to her entry point?

36.9°
41.4°
48.6°
53.1°

Answers

Answer: 48.6°

Step-by-step explanation:

Angle of elevation = sin inverse (6/8)

= 48.6 degrees

Therefore, Option C is right answer

Eliana draws a quadrilateral that has sides measuring 12 centimeters, 10 centimeters , 12 centimeters, and 10 centimeters in length. The angles are NOT right angle. What type of quadrilateral did Eliana draw?

Answers

Answer:

parallelogram

Step-by-step explanation:

opposite sides are congruent so this meets the minimum requirement to be a parallelogram.

For f(x) = 3x^3 - 9x^2 - 5x + 2

A. Find f(-1)

B. Find f(2)

Answers

Answer:

(3x2 + 3x - 1) • (x + 2)

Step-by-step explanation:

3.4 Polynomial Long Division

Dividing : 3x3+9x2+5x-2

("Dividend")

By : x+2 ("Divisor")

dividend 3x3 + 9x2 + 5x - 2

- divisor * 3x2 3x3 + 6x2

remainder 3x2 + 5x - 2

- divisor * 3x1 3x2 + 6x

remainder - x - 2

- divisor * -x0 - x - 2

remainder 0

Quotient : 3x2+3x-1 Remainder: 0

the length of a rectagle is 5 in longer than its width. if the perimeter of the rectangle is 56 in, find its length and width

Answers

Answer:

Step-by-step explanation:

Let the width of the rectangle = x

As length is 5 inches longer than width, we have to add 5 to width

Length = x + 5

Perimeter of ractangle = 56 in

2* (length + width) = 56

2*( x + 5 + x) = 56

2* (2x + 5)    = 56

Use distributive property: a*(b +c) =(a*b) + (a * c)

2*2x + 2*5   = 56

4x  + 10 = 56

Subtract 10 from both sides

4x = 56- 10

4x = 46

Divide both sides by 4

x = 46/4

x = 11.5

Width = 11.5 in

length = 11.5 + 5

            = 16.5 in

Find the lateral surface area of the rectangular prism in centimeters

Answers

Answer:

180 cm2 is the answer you can multiply all sides

Answer:

Step-by-step explanation:

length = l = 9 cm

Width = w= 3 cm

height = h  = 4 cm

Lateral surface area = 2 *( lh+ lw)

                                 = 2*( 9*4 + 9*3)

                                 = 2 * (36 + 27)

                                 = 2 * 63

                                  = 126 square cm

Please help me I don’t understand

Answers

Answer:

y=-2x + 5

Step-by-step explanation:

y=mx+b

m=slope

b= y intercept

since on the y line the line intercepts on 5 you replace 5 with the b.

As for the m(slope) when the line is decreasing (going down) its automatically a negative number. and since (0,5) (1,3) 5-3=2 -2 would be ur slope.

Can someone help me please?

Answers

Answer:

11/2

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

This is because each dot represents one plot, and the only number with one plot above it is 1 and 1/2, aka D

Seven times a number is between – 28 and 28.​

Answers

Answer:

four and negative four

Step-by-step explanation:

7*4 =28 7 *-4 = -28

5.Joan Robinson opens her own law office on July 1, 2012. During the first month of operations, the following transactions occurred. 1. Joan invested $11,000 in cash in the law practice. 2. Paid $800 for July rent on office space. 3. Purchased office equipment on account $3,000. 4. Provided legal services to clients for cash $1,500. 5. Borrowed $700 cash from a bank on a note payable. 6. Performed legal services for client on account $2,000. 7. Paid monthly expenses: salaries and wages $500, utilities $300, and supplies $100. 8. Joan withdraws $1,000 cash for personal use

Answers

Step-by-step explanation:

i will go you in the bank in co2 in the man

A box, with rectangular sides, base and top is to have a volume of 2 cubic feet. It has a square base. Express the
surface area A of the box in terms of the width w of the base. If the material for the base and top costs 10 dollars/ft2
and that for the sides costs 20 dollars/ft express the total cost C as a function of the width.

Answers

The total surface area is 2w² + 8/w, while the total cost is $(20w² + 160/w)

What is volume?

Volume is the amount of space occupied by a three dimensional shape or object.

Let w represent the width of the base and h represent the height. Hence:

w²h = 2

h = 2/w²

The surface area = 2w² + 4(hw) = 2w² + 4(2/w² * w) = 2w² + 8/w

The total cost = 2w² * $10 + (8/w) * $20 = $(20w² + 160/w)

The total surface area is 2w² + 8/w, while the total cost is $(20w² + 160/w)

Find out more on volume at: https://brainly.com/question/12410983

please help as soon as possible

Answers

Answer:

D, E

Step-by-step explanation:

In the table, r = 3p, and by converse, p = 1/3r. These options are D and E

Answer:

This is not college level stuff.

But the answer is D. r = 3p and E. p =r/3

Step-by-step explanation:

As you can see in the graph, all the r values are 3 times the p values, 9 = 3 x 3, 21 = 3 x 7, 24 = 3 x 8 and  so on. So, the equation is r = 3p. The same is also vice versa, r/3 = p.

Blake went shopping for a new pair of pants because of a sale. The store was offering a 10% discount. If the price on the tag was $40, what would be the price after the discount but before tax, to the nearest dollar and cent?
Please don't send a link!

Answers

$36
If you subtract 10% from 40 you get 36… and that’s with no tax

$36 is the price after the discount but before tax.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given that the store was offering a 10% discount.

The price on the tag was $40

We have to find the price after the discount but before tax,

The discount is 10% of $40, which is:

0.1 x $40 = $4

So the discounted price is:

$40 - $4 = $36

Hence, $36 is the price after the discount but before tax.

To learn more on Percentage click:

https://brainly.com/question/24159063

#SPJ2

7/8m+9/10-2m-53 answer

Answers

Answer:

− (45m+2084)/40

Step-by-step explanation:

I do not have one sorry,

Help help help help math math

Answers

Answer:

8 i think im not really sure

Step-by-step explanation:

write an expression to m+m+m+m that is a product of a coefficient and a variable

Answers

[tex]m+m+m+m=(1+1+1+1)m=4m[/tex]

5
volume of the solid figure.
7 yd 3 yd
4 yd
1 yd
12 yd
9 yd
4 yd
8 yd
lume is

Answers

Answer:

Hope the picture will help you.Make sure to mark me brilliant

A mother invests $7000 in a bank account at the time of her daughter's birth. The interest is 18) compounded quarterly at a rate of 8%. What will be the value of the daughter's account on her twentieth birthday, assuming no other deposits or withdrawals are made during this period?

Answers

well, from birth to your twentieth birthday that'll just be 20 years, so

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$7000\\ r=rate\to 8\%\to \frac{8}{100}\dotfill &0.08\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &20 \end{cases} \\\\\\ A=7000\left(1+\frac{0.08}{4}\right)^{4\cdot 20}\implies A=7000(1.02)^{80}\implies A\approx 34128.07[/tex]

Which of the following choices represents the average of other four?
A)4. B)-3. C). -4. D). -17. E). 5

Answers

Answer:

B) -3

Step-by-step explanation:

The average can be found by dividing the sum of the numbers by the total number of numbers.

[tex]mean = \frac{the \: sum}{n} [/tex]

[tex]mean = \frac{4 + ( - 4) + ( - 17) + 5}{4} [/tex]

[tex]mean = \frac{0 + ( - 12)}{4} [/tex]

[tex]mean = \frac{ - 12}{4} [/tex]

[tex]mean = - 3[/tex]

The mean is -3, so we can say the answer is B.

Answer:

B. -3.

Step-by-step explanation:

A ' middle' number looks like -3.

(4 + -4 - 17 + 5) / 4

= (-21 + 9) /4

= -12/4

= -3.

A certain brand of laundry detergent is manufactured for $3.85 and then marked up 40% by the local store before selling. The store offers a 20% discount with the purchase of three or more bottles of the detergent. Showing all work, determine the total cost, before tax, of five bottles of detergent. (10 points)

Answers

Answer:

$21.56

Step-by-step explanation:

Original price = $3.85Marked up by 40% = 3.85 x 1.4 = $5.39 per bottle

Cost and discount of 5 bottles

Cost = 5 x 5.39 = $26.95Discount of 20% = 26.95 x 0.8 = $21.56

Answer:

$21.56

Step-by-step explanation:

Original cost of one bottle of detergent = $3.85

Cost of one bottle after 40% mark up = 1.4 × $3.85 = $5.39

Cost of 5 bottles = 5 × $5.39 = $26.95

Cost of 5 bottles after applying 20% discount = 0.8 × $26.95 = $21.56

Therefore, the total cost of 5 bottles of detergent is $21.56

------------------------------------------------------------------------------------------------

Information about percetange increase/decrease

If you increase the price of something by 40% then it will be 140% of the original price (the original price is 100% and 100% + 40% = 140%).

Convert to decimal form:  140% = 140/100 = 1.4

Therefore, to calculate an increase of 40%, multiply the original price by 1.4

If you decrease the price of something by 20% then it will be 80% of the previous price (the original price is 100% and 100% - 20% = 80%).

Convert to decimal form:  80% = 80/100 = 0.8

Therefore, to calculate a decrease of 20%, multiply the previous price by 0.8

What would be the corresponding angles ( similar figures ). Any help with this question will be gladly appreciated . Thank you

Answers

Answer:

x=4.8

I think ur supposed to solve for x. Since the rectangles are similar, we can set a proportion for the sides

5/3 = 8/x (then just solve for x)

24=5x

4.8=x

What is the sum of 8 of the interior angles of a regular decagon?

Answers

Answer:

1152°

Step-by-step explanation:

interior angles of polygon = (n - 2) x 180, where n is the number of sides.

Decagon has 10 sides. 10 - 2 = 8 and 8 x 180 = 1440

Since there are 10 angles, Each angle a= 1440 / 10, which equals 144.

Finally, multiply 144 by 8 and you get 1152°

C
X
A parabola has a focus at ( 1.5, 0) and a directrix of x= -1.5. Which of the following equations represent the parabola?

Answers

Step-by-step explanation:

Since the focus lies on the x axis, and the diretcrtirx is a vertical line, we have a sideways parabola so we have the equation

[tex](y - k) {}^{2} = 4p(x - h)[/tex]

where h,k is the vertex and

p is the distance from the vertex to the focus or the distance fromcthe vertex to the directrix.

Since the focus is 1.5, and the directrix is -1.5 the vertex is (0,0) so we have

[tex]y {}^{2} = 4px[/tex]

We know p is 1.5 so we have

[tex] {y}^{2} = 6x[/tex]

[tex] \frac{1}{6 } {y}^{2} = x[/tex]

Liz flips a coin 60 times. The coin lands head up 24 times and tails up 36 times. The EXPERIMENTAL probability of the coin landing headS up is ___%.

Answers

Answer:

60%

Step-by-step explanation:

36= heads

36/60= 60%

Answer:

60x24x36=51,840%

Step-by-step explanation:

Four less than the product of seven and a
number is seventeen. What is the number?

Answers

hello!

=============================================

First of all, let the number be u.

The product of 7 and u means you should multiply 7 times u:

[tex]\pmb{7u}[/tex]

Now, subtract 4:

[tex]\pmb{7u-4}[/tex]

This expression equals 17:

[tex]\pmb{7u-4=17}[/tex]

[tex]\rule{200}{2}[/tex]

[Now, let's Find the Value of u]

First, add 4 to both sides:

[tex]\pmb{7u=21}[/tex]

Now, divide both sides by 7:

[tex]\pmb{u=3}[/tex]

=======================================================

notes:-

Hope everything is clear; if you need any clarification /explanation, kindly let me know, and I will comment and/or edit my answer :)

Answer quickly help please !!

Answers

Answer:

z = 104°

Step-by-step explanation:

        A straight line is 180° which helps us to solve this problem.

                       180° - 76° = 104°

        This means that angle y will be 76° and x will be 104° because of vertical angles.

*Pls help me*
No links

Answers

Answer:

See below ↓

Step-by-step explanation:

a. 4 ÷ (2/3) = 12/3 ÷ 2/3 = 12 ÷ 2 = 6

b. 4 ÷ 1 = 4

Attachment below.

Answer:

1: 6
2:4

Step-by-step explanation:

Sketch a graph x - y =5

Answers

Answer:

Step-by-step explanation:

*View attached graph*

Hope this helps!

Other Questions
At the end of Han dynasty, before the Tang dynasty established itself, there were _____ years for unrest in China. What might happen to its symbiotic partner of commensalism suddenly became extinct? I will be giving the brainliest to whoever.What is the PERCENT efficiency if a computer is supplied with 500 J of energy and is able to convert 400 J to useful energy?A. 0.8 %B. 8 %C. 80 %D. 800 % 1.You have an unknown piece of matter in front of you that you believe to be a piece of bark from a tree. First, how would you determine if the matter was organic or not? Second, what are two kinds of tests you could perform to indicate the material is plant matter rather than an animal? 2.You recently adopted a cat/puppy from a local shelter. What are some examples of at least THREE phenotypes it might have inherited from its parents, and what is at least ONE example of a genotype it might have inherited that ISNT also a phenotype?3.Think about your knee as a body part consisting of skin, ligaments, muscle, and nerve endings. If each of these components are epithelial tissue, connective tissue, muscle tissue, and nervous tissue respectively, then what would you say are the defining characteristics of each kind of tissue? What are the relevant parts of your skull as a whole that would fit each tissue type?4.Based on the information in the unit and your own knowledge of biology, what are some examples of enzymes your body produces/parts of your body that use enzymes? What about hormones (hint: almost any part of your body that affects your mood is an example of a hormone!)?5.When you drop oil into cup of water, why does it hold together instead of breaking up in the water? Name at least three common substances which are examples of lipids that relate to the following areas of life: driving, eating, and your own body. Which area of the stomach adjoins the small intestine?. What is the least common denominator of7/9 and 17/18? show your work please :( What role did SA women play in the struggle against apartheid in the 1950s-1960s ?(ESSAY) Calculate the third longest wavelength in the balmer series When Jerry sees the native boys at the beach, what does he long for? The chemical equation shows iron(iii) phosphate reacting with sodium sulfate. 2fepo4 3na2so4 right arrow. fe2(so4)3 2na3po4 what is the theoretical yield of fe2(so4)3 if 20.00 g of fepo4 reacts with an excess of na2so4? 26.52 g 53.04 g 150.8 g 399.9 g Determine a series of transformations that would map polygon ABCDE onto polygon A'B'C'D'E'? What is the general equation of a cosine function with an amplitude of 3, a period of 4 pi, and a horizontal shift of negative pi? y = 4 pi cosine (3 (x minus pi)) y = 3 cosine (4 pi (x pi)) y = 3 cosine (0.5 (x pi)) y = 4 pi cosine (0.2 (x pi)) Find the solution to 1/11 / 5, using either the flip and multiply method or common denominator method. a. 1/55 b. 5/55 c. 55 d. 5/55. IF RIGHT U GET BRAINLIEST 5 STAR AND FOLLOW AND LIKE What is the subject of this sentence? Roger walks three miles daily.a) walksb) three milesc) Roger When resting, a person generates about 412005 joules of heat from the body. The person is submerged neck-deep into a tub containing 2124 kg of water at 20.9 C. If the heat from the person goes only into the water, find the water temperature. For a ride on a rental scooter, Goran paid a $3 fee to start the scooter plus 11 cents per minute of the ride. The total bill for Goran's ride was $23.79. For how many minutes did Goran ride the scooter? when do you learn new things Using the digits 2, 4, and 6, write a number with a 4 inthe hundred thousands place and a 2 in the hundredsplace. all of the following nations were a part of the ''great powers'' at the congress of vienna except which one?A. austriaB. italyC. russiaD. france