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
Verdich [7]
3 years ago
11

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

tandard form. 5, -3, -1+3i
Mathematics
2 answers:
mr Goodwill [35]3 years ago
7 0
The other zero must be the conjugate of -1+3i  which is -1-3i.

so in factor form the function is

(x-5)(x+3)(x - (-1+3i))(x -(-1-3i)

= (x-5)(x+3)( x^2 + x +3ix + x + 1 + 3i - 3ix - 3i -9i^2)

= (x-5)(x+3)(x^2 + 2x + 10)

= (x^2 - 2x - 15)(x^2 + 2x + 10)

=  x^4 - 9x^2 - 50x - 150

chubhunter [2.5K]3 years ago
6 0
This is a polynomial of degree 4, because you have 4 roots real or imaginary:1st) x= 5 →(x-5)=0
2nd) x = - 3→(x+3) =0
3rd) x = -1+3i →(x+1-3i) = 0
and the 4th one that is not mentioned which is the conjugate of 
-1+3i, that is -1-3i (in any polynomial if a root has the form of a+bi, there is always a conjugate root = a-bi)
 
4th) x= -1-3i→(x+1+3i) = 0
Hence the polynomial =(x-5)(x+3)((x+1-3i)(x+1+3i)
Solving the above will give you (unless I am mistaken, pls recalculate):

x⁴-9x²-50x-150<u />
You might be interested in
(92 - 12) – 4 = 2 (2 + for<br> 4.0)<br> I
Goshia [24]

Answer:

Step-by-step explanation:

(92 - 12) – 4 = 2 (2 + for

4.0)

I

7 0
3 years ago
Pls help me solve this
prisoha [69]
B, because it’s saying 119 and over you can play on the junior varsity football team.
8 0
3 years ago
Read 2 more answers
Sketch feda = 4pie/3 in standard position
rewona [7]
Since 4pi/3 = 3pi/3 + pi/3 = pi + pi/3, that means it goes past the angle of pi (the negative x-axis), and an additional pi/3 radians. So this gives you a diagonal line that passes through the origin, from the third quadrant through to the first quadrant, and makes an angle of 60 degrees with the negative x-axis.
7 0
3 years ago
the diameter of the circle base of a storage container 18.8 m circumference of the base is approximately 59 m which of these cou
ozzi

Answer:

Estimate the value of pi =3.14

Step-by-step explanation:

The diameter of the circle base of a storage container 18.8m

The diameter of the circle 'd' = 2r

Given data  'd' = 2r = 18.8m

The circumference of the circle = 2πr

Given data of circumference of the circle = 59 m

given        2πr = 59

                2r(π) = 59

                18.8 π = 59 ( by using 2r =18.8)

                  π = 59/18.8

                   π  = 3.13829

                    π  = 3.14

<u>Conclusion</u>:-

Estimate the value of pi =3.14

         

6 0
3 years ago
Maria jogged 3 miles in 3/5 hour. Kari jogged 2 1/2 miles in 1/2 hour. Tell whether each statement is True or False.
Margaret [11]

Answer:

I believe this is correct

A is FALSE

B is TRUE

C is FALSE

3 0
3 years ago
Read 2 more answers
Other questions:
  • The equation below describes a proportional relationship between x and y. What is the constant of​ proportionality? y=2/7x
    15·2 answers
  • I need help with this hw please
    13·1 answer
  • Simplify expression 4x+2x+3x
    12·2 answers
  • What digit is in the tenths place in 24.816
    10·2 answers
  • An astronaut weighs 49 kg on earth. On the moon, an
    14·1 answer
  • After converting the equation 5x + 2y = 10 to slope-intercept form. What would be the slope and the y-intercept? a) m = -2/5 and
    10·1 answer
  • Jimmy won 82 super bouncy balls playing basketball at the county fair. At school he gave three to every student in his math clas
    7·2 answers
  • In an arithmetic sequence, the seventh term is −9 and the nineteenth term is 39.
    13·1 answer
  • What is greater than 525.06 but less than 525.6?
    6·1 answer
  • Find the length of the missing side. the triangle is not drawn to scale. 6, 8, 90
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!