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
Tanya [424]
3 years ago
6

Write a polynomial function in standard form given the zeros. -1/2, -5 + i

Mathematics
1 answer:
Rama09 [41]3 years ago
8 0

Answer:

y = x³ + 10.5x² + 31x + 13

Step-by-step explanation:

Complex roots (roots that have imaginary terms) always come in conjugate pairs.  So if one root is -5 + i, there's another root that's -5 − i.

So the polynomial is:

y = (x + 1/2) (x − (-5 + i)) (x − (-5 − i))

Distributing:

y = (x + 1/2) (x² − (-5 + i)x − (-5 − i)x + (-5 + i)(-5 − i))

y = (x + 1/2) (x² + 5x − ix + 5x + ix + (-5 + i)(-5 − i))

y = (x + 1/2) (x² + 10x + (-5 + i)(-5 − i))

y = (x + 1/2) (x² + 10x + 25 + 5i − 5i − i²)

y = (x + 1/2) (x² + 10x + 25 + 1)

y = (x + 1/2) (x² + 10x + 26)

y = x(x² + 10x + 26) + 1/2(x² + 10x + 26)

y = x³ + 10x² + 26x + 1/2x² + 5x + 13

y = x³ + 10.5x² + 31x + 13

You might be interested in
20 POINTS HELP ASAP
Anon25 [30]

Answer:

A

Step-by-step explanation:

6 0
3 years ago
on field day, 1/10 of the students in Mrs. Brown's class competes in jumping events, 3/5 of the student competes in running even
hjlf
1/10 + 1/10 = 2/10
10 / 5 = 2
3/5 = 6/10
2/10 + 6/10 = 8/10
10/10 - 8/10= 2/10
6 0
3 years ago
Read 2 more answers
How could you find the area of the pink title? Choose all that apply. <br><br>​
DaniilM [7]
By using green to find the pink locate all the ponies
3 0
3 years ago
Whooping cough (pertussis) is a highly contagious bacterial infection that was a major cause of childhood deaths before the deve
Igoryamba
A, since n=20 and p=5% if children are vaccinated mean number of new infections =np= 20*0.05=1 p(x<=2) = P(x=0)+P(x=1)
7 0
3 years ago
Which of the following is a geometric sequence
Romashka [77]

Answer:

C. -3, 3, -3, 3, ...

Step-by-step explanation:

-3×-3 = 3

3×-3 = -3

etc...

Hope this helps! :)

4 0
3 years ago
Read 2 more answers
Other questions:
  • There were 6 pizza pies at the summer barbeque at Gioia's house. She shares the pizza with her 7 friends. If all 8 get the same
    9·2 answers
  • Find the value of y for the given value of x. Round to the nearest hundredth.
    15·1 answer
  • Why can you use a model to check your answer for a division problem
    9·1 answer
  • Given the figure what is the value of x show your work
    5·1 answer
  • Simplify 100<br> <br> A. 20<br> B. 10<br> C. -10<br> D. -25
    6·2 answers
  • Timed UNIT Test. pls help​
    5·2 answers
  • Hunter earns $16 per hour tutoring students after school, If Hunter tutored for 12 hours
    11·2 answers
  • Please help:)) will give brainliest:)
    15·1 answer
  • A jar contains 7 blue marbles and 2 red marbles. Suppose you choose a marble at​ random, and do not replace it. Then you choose
    6·1 answer
  • What is the slope of a line that contains the points (1 -2) and (4, -3).
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!