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
AVprozaik [17]
3 years ago
15

Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in s

tandard form.
5, -3, and -1 + 3i

f(x) = x4 + 12.5x2 - 50x - 150
f(x) = x4 - 4x3 + 15x2 + 25x + 150
f(x) = x4 - 4x3 - 15x2 - 25x - 150
f(x) = x4 - 9x2 - 50x - 150
Mathematics
1 answer:
Jobisdone [24]3 years ago
3 0

Answer:

f(x)=x^4-9x^2-50x-150

Step-by-step explanation:

Let f(x) be the polynomial function of minimum degree with real coefficients whose zeros are 5, -3, and -1 + 3i be f(x).

By the complex conjugate property of polynomials, -1-3i is also a root of this polynomial.

Therefore the polynomial in factored form is f(x)=(x-5)(x+3)(x-(-1+3i))(x-(-1+3i))

We expand to get:f(x)=(x^2-2x-15)(x^2+2x+10)

We expand further to get:\

f(x)=x^4-9x^2-50x-150

You might be interested in
Last year Mike’s annual salary was $24,375. What is his semimonthly salary?
Rainbow [258]

Answer:

I am a beautiful person. The comments box. chart. This is a good 6 the most popular and I will be angry with me, but the 15th.

Step-by-step explanation:

I am a beautiful person. The list of neighbouring businesses by going to be a good day. I have been a long term, but I am a beautiful and the rest, I have been a while. I am not wasting our site and a half years. The list below to see you again for all of you. If it does, and a half years ago, but the most popular programs and I have been in touch and we'll be happy to do with it, but the 15th century. The may be

4 0
3 years ago
Is this right? I’m unsure if I’m doing this correctly. Thanks
gogolik [260]
The answer is 24 as it's the smallest number given that is divisible by both 6 and 8.
4 0
3 years ago
Read 2 more answers
Convert the decimal 0.8034 to a fraction and classify it as either rational or irrational.
Llana [10]

Answer:

Fractional form of 0.8034  =\frac{4017}{5000}

Since 4017 and 5000 are whole numbers this fraction is rational.

Step-by-step explanation:

We have 0.8034=\frac{8034}{10000} =\frac{4017}{5000}

Fractional form of 0.8034  =\frac{4017}{5000}

Since 4017 and 5000 are whole numbers this fraction is rational.

7 0
3 years ago
Who discovered America?<br>​
ira [324]

Answer:

Christopher Columbus

Step-by-step explanation:

According to the hystoriartors:

Christopher Columbus

7 0
2 years ago
Read 2 more answers
What is the distance of the trip if Ken drives 7 hours at the speed of 65mph?
Mila [183]

Answer:

455 miles

Step-by-step explanation:

Distance = Speed x Time

X = 65 x 7

X= 455 miles

If you are going 65 miles PER hour, then to find the total distance traveled, you'd mutiply the amount of time you have with how fast you are going.

5 0
3 years ago
Read 2 more answers
Other questions:
  • What Is the ? In the question?
    9·2 answers
  • Midge walked 7/8 mile Monday and 4/5 mile on Tuesday. let x = how much farther she walked on Monday.
    12·2 answers
  • Is 7/10 or 11/20 greater than less than or equal too
    6·2 answers
  • One week, Brooklyn earned $179.30 at her job when she worked for 11 hours. If she is paid the same hourly wage, how many hours w
    8·2 answers
  • How many solutions exist for the given equation?
    13·1 answer
  • Mark sorted a set of shapes into two different categories. Explain, what two attributes were used to sort the shapes. help pleas
    15·1 answer
  • Please help I don’t get it
    11·1 answer
  • Sally has a checking account. For each day that Sally's account balance falls below zero, she is charged a fee of $2.50 per day.
    7·1 answer
  • No links No Files Need help ASAP
    14·2 answers
  • Helpppppppp meeeeeeeee
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!