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
lesya [120]
3 years ago
13

Write a polynomial f(x) that satisfies the given conditions, Express the polynomial with the lowest possible leading positive in

teger coefficient
Polynomial of lowest degree with lowest possible integer coefficients, and with zeros 5-8i and 0 (multiplicity 4).
Mathematics
1 answer:
RUDIKE [14]3 years ago
4 0

9514 1404 393

Answer:

  f(x) = x^6 -10x^5 +89x^4

Step-by-step explanation:

For a given zero p with multiplicity n, one of the factors of the polynomial will be (x -p)^n. If the polynomial has real coefficients, then the complex zeros come in conjugate pairs.

The factored form of your polynomial is ...

  f(x) = (x -(5 -8i))(x -(5 +8i))(x -0)^4

  f(x) = ((x -5)^2 -(8i)^2)(x^4) = (x^2 -10x +89)(x^4)

  f(x) = x^6 -10x^5 +89x^4

You might be interested in
A 5-foot peice of ribbon cost 13.20 dollars. WHAT is the price per inch
Katen [24]

Answer:

$0.22 per inch

Step-by-step explanation:

$13.20/5 feet =

$2.64 / 1 foot

Remember 1 foot = 12 inches

$2.64 / 12 inches =

$0.22 per inch

5 0
3 years ago
Suppose we have a population that does not follow the normal distribution. What minimum sample size we should select in order to
Pepsi [2]

Answer:

D. 30

Step-by-step explanation:

Having a population that doesn't follow normal distribution (skewed) can still have sampling distribution that is completely normal. This fact is presented in the Central Limit Theorem.

Central Limit Theorem: states that we can have a normal distribution of sample means even if the original population doesn't follow normal distribution, we just need to take a large sample.

So how much sample size do we need?

There is no straight forward answer to this rather we have to analyse the situation closely!

1. If the population distribution is already normal then a smaller sample size would be enough to ensure normal distribution.

2. If the population distribution is very skewed than a larger number of sample size is needed to ensure normal distribution. The rule of thumb is to take sample size equal to or more than 30 to be on safer side. This is the case in this problem hence option D fits the best.

5 0
4 years ago
An ant crawls 11 feet in 9 minutes. How far can it crawl in 27 minutes and in 36 minutes? Enter your answers.
Levart [38]

Answer:

33, 44

Step-by-step explanation:

11 feet in 9 minutes

27 minutes is 3 times as long as 9 minutes, meaning it would be 3 times as more feet. it would crawl 33 feet in 27 minutes.

36 minutes is 4 times as long as 9 minutes, meaning it would be 4 times as more feet. It would crawl 44 feet in 36 minutes.

4 0
3 years ago
What is 1209➗197 and how do it do it lol
Montano1993 [528]
1209/197 is 6.13 

I used a calculator lol
8 0
3 years ago
What are possible units for impulse? Check all that apply.
vivado [14]

Answer:

N s or Kg m/s

Step-by-step explanation:

Impulse is the product of the force and time or mass and velocity.

Impulse = force x time , or

Impulse  = mass x velocity

Therefore; the SI units of impulse is newton-second (N · s). Reduced to base units in the International System of Units ( SI ), a newton-second is the equivalent of a kilogram-meter per second (kg · m/s).

4 0
3 years ago
Other questions:
  • Match each situation to its corresponding equation
    12·1 answer
  • In an election, there are a total of 80000 voters and there are two candidates, X and Y. 80 % of the voters go for polls out of
    5·1 answer
  • PLEASE HELP NOW! WILL GET BRAINLIEST IF CORRECT, ALSO WILL GET THANKS!!
    15·1 answer
  • Find the image of O(-1,-3) after two reflections, first in the line y = -2 and then in the line x = -2.
    5·1 answer
  • ms. groves has trays of paints for students in her art class. each tray has 5 colors. one of the colors is purple. what fraction
    11·1 answer
  • EMERGENCY!!!!MY MOM WILL MOVE ME TO A DIFFERENT SCHOOL IF I DONT GET MY HOMEWORK DONE AND GET A GOOD GRADE PLEASE, NOT JOKING!!!
    7·1 answer
  • Write an addition sentence that equals 1 X 5
    7·2 answers
  • it takes the dryer 45 inutes to dry a load of towels. If the dryer uses 6,750,000 joules of energy to dry the towels, what is th
    12·1 answer
  • If an object is thrown upward at 128 feet per second from a height of 36 feet, its height S after t seconds is given by the foll
    6·1 answer
  • How to determine proportional relationship?<br><br> In your own words PLEASE
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!