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
aev [14]
3 years ago
7

Find a third-degree polynomial equation with rational coefficients that has roots –4 and 2 + i

Mathematics
1 answer:
ella [17]3 years ago
8 0
If it has rational coefients and is a polygon
if a+bi is a root then a-bi is also a root

the roots are -4 and 2+i
so then 2-i must also be a root


if the rots of a poly are r1 and r2 then the factors are
f(x)=(x-r1)(x-r2)

roots are -4 and 2+i and 2-i

f(x)=(x-(-4))(x-(2+i))(x-(2-i))
f(x)=(x+4)(x-2-i)(x-2+i)
expand
f(x)=x³-11x+20
You might be interested in
The Spinner has 8 equal sized sections, each labeled 1,2,3 or 4.
stiv31 [10]
Since there are 3 "2's" and 8 total options, the probability is 3/8 or C.
6 0
3 years ago
Read 2 more answers
If m x=49, y =41<br> x=90, y=49<br> x=90 y=41<br> x=41 y=49
a_sh-v [17]

Answer:

90

Step-by-step explanation:

90

4 0
3 years ago
Cody and his friends stated playing a game at 6:30 P.M. it took them 37 minuntes to finish the game at what time did they finish
gavmur [86]

Answer:

7:07 p.m

Step-by-step explanation:

Add 37 minutes to 6:30

4 0
3 years ago
Read 2 more answers
Image Which of the following statements is true for ∠a and ∠b in the diagram?
saveliy_v [14]

Answer:

You have not added a picture soi can not help answer this question.

Step-by-step explanation:

Add the picture by either taking a photo or screenshot of the question then upload it.

3 0
2 years ago
Help me<br>ans should be well explained :) ​
Slav-nsk [51]
551, it is too big of a number so it is the outlier. :)
5 0
3 years ago
Read 2 more answers
Other questions:
  • The length of a rectangle is one more than 2 times the width. if the perimeter of a rectangle is 29 inches, find the length
    9·1 answer
  • Solve by taking the square too of both sides.<br> 3(c+3)^2-81=0
    10·1 answer
  • I need help please explain
    5·1 answer
  • 56 is what percent of 84
    10·1 answer
  • What linear function equation can be represented by the set of ordered pairs? {(−4, −6), (0, −3), (4, 0), (12, 6)} Enter your an
    10·2 answers
  • What is x(32/18) = 1000<br><br> Solve for X
    8·2 answers
  • In the expression below, k is an integer.
    14·1 answer
  • What integer is the closest to 731
    9·1 answer
  • Answer 1 is - yes, this is a graph function.<br><br> answer 2 is - no, this graph is not a function.
    13·1 answer
  • If k(x) = 5x - 6, which<br> expression is equivalent to (k + k)(4)?
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!