Find a polynomial function with real coefficients that has the given zeros. (There are many correct answers.) −5, −5, 1 + 2 i

Answers

Answer 1

The given zeros are -5, -5, 1 + 2i.
Because complex zeros occur in conjugate pairs, the zeros are
-5, -5, 1 + 2i, 1 - 2i.

The polynomial is
f(x) = (x+5)²[x- (1+2i)][x -(1-2i)]

Note that
[x - (1+2i)][x - (1-2i)]
= x² - x(1 - 2i) - x(1+2i) + (1 - 4i²)
= x² - 2x +5

Therefore
f(x) = (x+5)²(x²-2x+5)

Answer: f(x) = (x+5)²(x²-2x+5)

Related Questions

An architect is designing a department store. She wants to add an escalator. She knows that the escalator will make a 30 degree angle with the floor and will have a vertical height of 36 feet. How much room will she need to allow for the horizontal length?

Answers

the base would be 36 /tan(30) = 62.35 feet,

round the answer as needed.

How can I solve this?
f(x) =
[tex] {10}^{x} [/tex]
Solve,
[tex] {f}^{ - 1} (1)[/tex]

.

Answers

Here you are
Merry Christmas

You want to split a sheet of paper into five equal columns. You know that the paper is 8.5 inches wide.

How wide should you make each column?

Answers

8.5/5
Plug that into your calculator and it will give you the answer.

Let A= {1, 3, 4}, B= { x| x is an even whole number less than 9}, C= {2, 5, 7, 10}, and D= { x| x is an odd whole number less than 10}

11. A U C

13. B U C

17. A n C

Please answer. I need to know. THANK YOU <3

Answers

Answer to problem 11 is the set {1, 2, 3, 4, 5, 7, 10}

Answer to problem 13 is the set {2, 4, 5, 6, 7, 8, 10}

Answer to problem 17 is the empty set { } (see explanation below)

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

Explanation to problem 11

Set A = {1, 3, 4}
Set C = {2, 5, 7, 10}

When we union these two sets together, we simply combine them writing all of the elements in one big set. This is why the answer is {1, 2, 3, 4, 5, 7, 10}

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

Explanation to problem 13

B = {x|x is an even whole number less than 9}
B = {2, 4, 6, 8}
C = {2, 5, 7, 10}

Union B and C together and we get {2, 4, 5, 6, 7, 8, 10}

Toss out any duplicates

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

Explanation to problem 17

The previous problems had us doing set unions. This time we're doing set intersections. We have these two sets
A = {1, 3, 4}
C = {2, 5, 7, 10}

The question is: what number is in BOTH set A and set C? The answer is "there is no such value"
1 is in A, but not in C
3 is in A, but not in C
4 is in A, but not in C
2 is in C, but not in A
5 is in C, but not in A
7 is in C, but not in A
10 is in C, but not in A
There are no overlapping values. No values are shared between the two sets

So the answer is simply "the empty set" which can be written as { }. This is a pair of curly brace with nothing inside them. Your book may use the special symbol [tex]\varnothing[/tex], which is another way of saying "empty set"

The union of sets A and C (A U C) includes all unique elements from both sets resulting in {1, 3, 4, 2, 5, 7, 10}. The union of sets B and C (B U C) combines all unique elements from the even numbers less than 9 and set C, resulting in {2, 4, 6, 8, 5, 7, 10}. The intersection of sets A and C (A n C) is the empty set since they share no common elements.

When combining or intersecting sets, we are looking at the members that belong to each set.

The union of sets A and C (A U C) includes all elements that are in A, C, or both. So, A U C = {1, 3, 4, 2, 5, 7, 10}.The union of sets B and C (B U C) needs to take into account that set B contains all even whole numbers less than 9. So, first we list those numbers to define B as {2, 4, 6, 8}. Now, combining B and C, we have B U C = {2, 4, 6, 8, 5, 7, 10}.The intersection of sets A and C (A n C) contains all elements that are present in both sets. Since there are no common elements between A and C, A n C = {} , which is also known as the empty set.

Explain in your own words that CPCTC means in Geometry AND when it is used?

Answers

CPCTC?
Corresponding parts of congruent triangles are congruent

When?
Used when you want to prove that 2 sides, angles, or triangles are the same.

The Zigzag River is 144 miles longer than twice the petite River. If the petite River is 46 miles long, how long is the ZigZag river

Answers

The ZigZag river is 236 miles long. Hope this helps!

First multiply 46 by 2 to get 'twice the petite river' then add 144 and you'll get 92 plus 144 which equals 236

72 is 48% of what number

Answers

72/1 x 48/100
= 18/1 x 48/25
= 864/25
= 34 14/25

The number for which 72 is 48 percent of is approximately equal to 150.

To find the number that corresponds to 72 being 48% of it, set up an equation.

Let "x" represent the unknown number.

The equation for "72 is 48% of x" can be written as:

72 = 0.48 × x

To solve for "x," divide both sides of the equation by 0.48:

x = 72 / 0.48

x ≈ 150

Therefore, 72 is 48 percent of approximately 150.

learn more about percent here

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A car travels 1/6 of the distance between two cities in 3/5 of an hour. At this rate, what fraction of the distance between the two cities can the car travel in 1 hour?

Answers

can someone answer this correctly plz

At 9 am a car (A) began journey from a point, traveling at 40 mph. At 10 am another car (B) started traveling from the same point at 60 mph in the same direction as car (A). At what time will car B pass car A?

Answers

When car B passes car A, they will have traveled the same distance, d.

speed = distance/time

distance = speed * time

Car A travels t time.
Since car B starts an hour later, car B travels t - 1 time.

Car A:
d = st
s = 40t

Car B:
d = st
d = 60(t - 1)

The distance are equal, so

40t = 60(t - 1)

40t = 60t - 60

-20t = -60

t = 3

Car A started at 9 am.
9 am + 3 hours = noon.

Answer: at noon.

On a string of red and blue lights, the red lights blink everyb3 seconds, and the blue lights blink every 5 seconds. How many times will they blink at the same time in one minute?

Answers

when will they blink together?
what is the smallest number they both mutiply to
3*5=15
so every 15 seconds
so at 15, 30, 45, 60 seconds
so 4 times if you count the time exactly at 1 minute

Final answer:

The red and blue lights will blink at the same time 4 times in one minute.

Explanation:

To determine how many times the red and blue lights will blink at the same time in one minute, we need to find the time at which both the 3-second cycle of the red light and the 5-second cycle of the blue light coincide. This is equivalent to finding the least common multiple (LCM) of 3 and 5. The LCM of 3 and 5 is 15, which means they will blink at the same time every 15 seconds.

Since there are 60 seconds in a minute, we need to find how many times 15 seconds fit into 60 seconds. 60 ÷ 15 = 4. Therefore, the red and blue lights will blink at the same time 4 times in one minute.

Answer: The red and blue lights will blink at the same time 4 times in one minute.

Learn more about Blinking lights here:

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What is the Math pattern for 4,25,130,655

Answers

It has a pattern of first multiplying by 4 then add 5 to the product and then add the total to the number and so on.

4*4=16, 16+5=21, 21+4=25

25*4=100, 100+5=105, 105+25=130

130*4=520, 520+5=525, 525+130=655

I am the largest 7-digit number you can write with the digits 3, 6, 9, 4, 0, 8, and 2

Answers

9,864,320

Hope this helps, let me know if there's anything else I can help you with :)

i believe it is 9,864,320

Find the possible values of n in the inequality -3n<81

A. n<27

B. n>-27

C. n=-27

D. n=27

Answers

-3n < 81...divide both sides by -3, and change the inequality sign
n > -81/3
n > - 27 <==

** in an inequality, if u divide/multiply by a negative number, u have to change the inequality sign

What is 64mi/h= ft/s

Answers

64 miles per hour = x feet per second

Convert your units:
1 mile = 5280 feet
1 hour = 3600 seconds

64 miles/hour = 64(5280feet/3600seconds)
= 33792 feet / 3600 seconds = 9.386 feet / second

Therefore, 64 mi/h = 9.39 ft/s.

Suppose 8 out of 20 students are absent from school less than five days a year. Predict how many students would be absent from school less than five days a year out of 40,000 students

Answers

40,000 x 8 divided by 20 = 16,000 absent students.

what common side do GDE and HED share

Answers

Both triangles share the side ED. You can see this in the triangle name as well as in the picture(graph) given

Delilah does 184 jumping jacks in 4 minutes. She does her jumping jacks at a constant rate.
How many jumping jacks can Delilah do per minute?

Answers

Delilah does 46 jumping jacks per minute

46 hope this helps bro.

how would I solve 4 1/19 × 1 10/21 ?

Answers

First put them into improper fractions which are 77/19 and 31/21, then multiply 77 and 31 and get 2387, and multiply the denominators 19 and 21 which is 399. Then u can put it into a simplified fraction of u wnat

The answer is 5 [tex] \frac{56}{57} [/tex]. 1.)Transform the mixed numbers into proper fractions. 4 [tex] \frac{1}{19} [/tex] = 19x4 = 76+1=77=[tex] \frac{77}{19} [/tex]. 1 [tex] \frac{10}{21} [/tex] = 21x1=21+10=31= [tex] \frac{31}{21} [/tex].
2.) Multiplying two fractions. [tex] \frac{77}{19} [/tex] x [tex] \frac{31}{21} [/tex]=[tex] \frac{2387}{399} [/tex]. 3.) Simplifying a fraction. [tex] \frac{2387}{399} [/tex] = [tex] \frac{341}{57} [/tex]. 4.) Since the numerator greater then the denominator, convert the improper fraction to mixed number. [tex] \frac{341}{57} [/tex] = 56+5x57/57 = 5 [tex] \frac{56}{57} [/tex]

A Science class has 12 boys and 15 girls. What is the probability that a student chosen at random is a boy?

Answers

If there are 27 students total, and 12 of them are boys, the probability would have to be 12/27, simplified to 4/9 or 44%

12/15 is equal to 4/5 so the probability would be 4/5 or 12/15 because you're calculating for boys over girls

Expand (4x + 1)(x - 3) what is the answer

Answers

Im pretty sure that the answer to your problem would be
4x^2-11x-3

(4x+1)(x-3) disturb 4x*x=4x^2 4x*3=12x 1*x=1x 1*-3=-3 rewrite
4x^4+12x-3 is ur answer
Hope this helps have a nice day

Six friends split the cost of a party. Each person also spends $65 for a hotel room. Each person spends $160 on the party and the room. What is the cost of the party?

Answers

960 plz mark as brainileist...

First do 65*6 then do 160-65=95. So 95*6 as well.
Then just add the sum of 65*6 and 95*6 And that’s the answer.

Convert $8.25 per hour to dollars per year , with work

Answers

8.25*40= $330 a week

330*12= $3960 a year

A car is traveling at a rate of 44 feet per second. What is the cats rate in miles per hour? How many miles will the car travel in 4 hours? 1 mile = 5280 feet. Do not round.

Answers

It takes 3600 seconds for one hour. It takes 14400 seconds for four hours.

Hope I helped!

If x = 3 calculate the value of x2+x

Answers

If x = 3 calculate the value of x^2+x
3^2 +3
= 9 + 3
= 12

The X just represents what the value will be in the equation, in this case 3, and when you have the letter besides a number, you just multiply them together:
x2+x = (2*3)+3 = 9

The answer is 9,
Hope this helps! :)

Nick is making a model of a car to show at his school. The circumference of each wheel is 9.42 inches. What is the diameter of the wheel?

Answers

perimeter = 2 pi r
9.42 = 2 × 22/7 × r
9.42 ×7 / 22 ×2 = r
r = 1.5 inches
Diameter = 2r
= 2× 1.5 =3
Therefore, diameter = 3 inches

The diameter of the wheel can be found using the formula d = C / π. Given the circumference of 9.42 inches, the diameter is approximately 3 inches.

Step by Step Solution:

To find the diameter of the wheel, we can use the relationship between the circumference and the diameter of a circle. The formula is:

Circumference (C) = π × Diameter (d)

In this case, the circumference (C) is given as 9.42 inches. We need to solve for the diameter (d).

Re-arranging the formula to solve for diameter:

Diameter (d) = Circumference (C) / π

We can use the value of π (pi) which is approximately 3.14.

Given: Circumference (C) = 9.42 inches

π ≈ 3.14

Now, substitute the values into the formula:

d = 9.42 / 3.14 ≈ 3 inches

Therefore, the diameter of each wheel is approximately 3 inches.

What is the approximate volume of the sphere?

Use 3.14 to approximate pi and round to the nearest hundredth if necessary.
48cm3

150.72cm3

288.00cm3

904.32cm3

Answers

904.32cm3 Your welcome And have a nice day sir/maam

The answer is 904.32cm3. Have a nice day!

Mckenzie and Cara both tried to find the missing side of the right triangle. Is either of them correct? Explain your reasoning.

Answers

Since it is a right triangle, we can use the pythagorean theorem:

a^2+b^2=c^2

5^2 + 13^2 = c^2

25 + 169 = c^2

194 = c^2

c = sqrt(194)

An electronics manufacturer has 180 capacitors, and the same number of capacitors is needed for each circuit board made. The manufacturer uses the capacitors to make 45 circuit boards

Answers

They used 4 capacitors per circuit board, if that's what you are asking....
180/4=45

A high speed train can travel an average of 500km in 2 hours. If it left its station at noon and traveled nonstop, how many kilometers had it traveled by midnight.

A. 1,500km
B. 3,000km
C. 6,000km
D. 12,000km

Answers

B. Just multiply. it has travelled 12h moving about 250km per hour which is 3000km

12 hours traveled. Every 2 two hours 500km. So 1 hour travels average 250km, in 12 hours traveled 12X250=3000km or You can solve deferent way , in 12 hours divide by 2 and multiply by 500km (12:2)x500=3000

Byun walked 15 blocks in 25 minutes. What was his average speed?
average = distance / time

Answers

Since average= distance/time you plug in the numbers and it becomes, average= 15/25. If you divide 15 by 25 you get an answer of 0.6. That is the average.

Answer:

3/5 blocks per minute

Step-by-step explanation:

Byun walked 15 blocks in 25 minutes.

average = distance / time

Average speed is equal to distanced traveled by the time taken

[tex]Average =\frac{distance}{time}[/tex]

Distance = 15 blocks

and time = 25 minutes

So [tex]Average =\frac{15}{25}[/tex]

Divide both sides by 5

[tex]Average =\frac{15}{25}=\frac{3}{5}[/tex]

Average speed is 3/5 blocks per minute

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