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
Ad libitum [116K]
3 years ago
11

Write a polynomial function of least degree with integral coefficients that has the

Mathematics
1 answer:
frutty [35]3 years ago
6 0

A polynomial function of least degree with integral coefficients that has the

given zeros  f(x)=x^4+x^3+9x^2+9x

Given

Given zeros are 3i, -1  and 0

complex zeros occurs in pairs. 3i is one of the zero

-3i is the other zero

So zeros are 3i, -3i, 0 and -1

Now we write the zeros in factor form

If 'a' is a zero then (x-a) is a factor

the factor form of given zeros

\:\left(x-3i\right)\left(x-\left(-3i\right)\right)\left(x-0\right)\left(x-\left(-1\right)\right)\\\left(x-3i\right)\left(x+3i\right)\left(x-0\right)\left(x+1\right)

Now we multiply it to get the polynomial

x\left(x-3i\right)\left(x+3i\right)\left(x+1\right)\\x\left(x^2+9\right)\left(x+1\right)\\x\left(x^3+x^2+9x+9\right)\\x^4+x^3+9x^2+9x

polynomial function of least degree with integral coefficients that has the

given zeros  f(x)=x^4+x^3+9x^2+9x

Learn more : brainly.com/question/7619478

You might be interested in
This table shows the number of points two teams scored in five games
mezya [45]

Answer:

2.16

Step-by-step explanation:

The question is on mean absolute deviation

The general formula ,

Mean deviation = sum║x-μ║/N where  x is the each individual value, μ is the mean and N is number of values

<u>Team 1</u>

Finding the mean ;

mean= \frac{51+47+35+48+64}{5}  =49

Points     Absolute Deviation from mean

51                          2

47                         2

35                        14

48                         1

64                         15

<u>Sum    </u>                34          

Absolute mean deviation = 34/5= 6.8

<u>Team 2</u>

Finding the mean

mean=\frac{27+55+53+38+41}{5} = 42.8

Points                      Absolute deviation from the mean

27                                    15.8

55                                    12.2

53                                     10.2

38                                      4.8

41                                       1.8

<u>Sum                                 44.8        </u>

Absolute deviation from the mean = 44.8/5 =8.96

Solution

Difference in mean absolute deviation of the two teams = 8.96-6.8 = 2.16

5 0
3 years ago
Which property is always true for a quadrilateral inscribed in a circle?
olga_2 [115]
Sides are always equal. Pretty sure
8 0
3 years ago
Read 2 more answers
Divide 48 in the ratio 3 : 6:7​
Marina CMI [18]

Answer:

48 \times  \frac{3}{16}  \\ 9

48 \times  \frac{6}{16}  \\ 18

48 \times  \frac{7}{16}  \\ 21

9:18:21

7 0
3 years ago
Read 2 more answers
How long is the segment from(-5,2)to(-5,-8)
dusya [7]

Answer:

10

Step-by-step explanation:

To calculate the distance d use the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 5, 2) and (x₂, y₂ ) = (- 5, - 8)

d = \sqrt{(-5+5)^2+(-8-2)^2}

  = \sqrt{0^2+(-10)^2}

  = \sqrt{0+100} = \sqrt{100} = 10

6 0
3 years ago
PLEASE HELP ASAP! BRAINLIEST TO BEST/RIGHT ANSWER
choli [55]
The correct answer is B :)
3 0
3 years ago
Other questions:
  • What is the distance between points A and B?
    6·2 answers
  • Peter answered 15 questions on a quiz and obtained 29 points. If 3 points were given for each correct answer and one point deduc
    5·1 answer
  • Find the 30in term if the following sequence 1, 7, 13, 19
    8·1 answer
  • Heart 1 is translated 3 units down to heart 2. Which shows this transformation?
    5·2 answers
  • Hiy im in kindergaten and i ned help on my homwwork wat is 5pluss7
    12·2 answers
  • which of the following inequalities matches the graph? graph of an inequality with a solid line through the points 0, negative 2
    6·1 answer
  • Randi bought a wallet for $8.33. She paid with a $20 bill. Which of the following could be the change she received?
    14·2 answers
  • Slice for the missing sides 45-45-90 triangle. show work thank you
    12·1 answer
  • HELP PLEASE I'M BEING TIMED WILL GIVE BRAINLIEST
    15·2 answers
  • Identify the slope and the y-intercept of 3x-4y=-16​
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!