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
Lana71 [14]
3 years ago
9

Construct a polynomial function with the following properties: third degree, only real coefficients, −3 and 3+i are two of the z

eros, y-intercept is −90.
Mathematics
1 answer:
irina [24]3 years ago
5 0

Answer:

\boxed{-3(x+3)(x^2-6x+10)}

Step-by-step explanation:

Hello,

As the polynomial has only real coefficients, it means that 3-i is a zero too, because we apply the Conjugate Zeros Theorem.

It means that we can write the expression as below, k being a real number that we will have to identify.

k(x+3)(x-3-i)(x-3+i)=k(x+3)((x-3)^2-i^2)\\\\=k(x+3)(x^2-6x+9+1)\\\\=k(x+3)(x^2-6x+10)

And for x = 0, y = -90 so we can write

-90=k*3*10, meaning that k=-3

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

You might be interested in
A blogger has 400 subscribers to her blog in January. The number of subscribers has grown by a factor of 1.5 every month since t
mr Goodwill [35]

Answer:

Since a blogger has 400 subscribers to her blog in January, and the number of subscribers has grown by a factor of 1.5 every month since the, to write a sequence to represent the number of subscribers in the 3 months that followed, the following reasoning has to be made:

January: 400 subscribers

February: 400 x 1.5 = 600 subscribers

March: 600 x 1.5 = 900 subscribers

April: 900 x 1.5 = 1,350 subscribers

8 0
3 years ago
Please help me answer the question below!
Elena-2011 [213]

area = x^2 -10x+25

side = sq root area

x^2-10x+25 = (x-5)(x-5) = (x-5)^2

=》 side = (x-5)

4 0
3 years ago
PLEASE HELP
UkoKoshka [18]

Answer:

really easy its 180

Step-by-step explanation:

because you multiply 30 times 6 u get 180

3 0
3 years ago
Read 2 more answers
Can someone help me on this ? Please
mote1985 [20]

Answer:

need to know more

Step-by-step explanation:

8 0
2 years ago
Tim can paint a room in 6 hours. Ben can paint the same room in 4 hours. How many hours would it take Tim and Ben to paint the r
melisa1 [442]
It would be 10 hours
8 0
3 years ago
Other questions:
  • When comparing answers on a group assignment, Jenny and Jeremy found that their answers did not match. Part 1: Who do you believ
    7·1 answer
  • What is -3/11 as a decimal
    11·1 answer
  • What is the greatest common factor GCF of 10 and four
    12·2 answers
  • John has taken out a loan for college. He started paying off the loan with a first payment of $100. Each month he pays, he wants
    9·1 answer
  • What is the correct answer for this problem?Explain
    8·2 answers
  • Plz help ASAP I can't figure out
    15·1 answer
  • If 1 kilometer equals 1,000 meters, how many meters are equal to 6 kilometers?
    8·2 answers
  • a fish is 12 m below the surface of the ocean what is the elevation of sea bird is 28 m above the surface of the ocean what is t
    7·1 answer
  • Please i need help with 4th grade math please write the answer and shiw the solution hownto solve the problem step by step.thank
    10·2 answers
  • 42 deliveries in 3 hours = deliveries per hour
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!