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
tia_tia [17]
3 years ago
5

Find the polynomial equation of least degree with roots -1, 3, and (+/-)3i

Mathematics
1 answer:
jasenka [17]3 years ago
7 0
Each of these roots can be expressed as a binomial:

(x+1)=0, which solves to -1
(x-3)=0, which solves to 3
(x-3i)=0 which solves to 3i
(x+3i)=0, which solves to -3i
There are four roots, so our final equation will have x^4 as the least degree

Multiply them together. I'll multiply the i binomials first:
(x-3i)(x+3i) = x²+3ix-3ix-9i²
x²-9i²
x²+9  [since i²=-1]

Now I'll multiply the first two binomials together:
(x+1)(x-3) = x²-3x+x-3
x²-2x-3
Lastly, we'll multiply the two derived terms together:

(x²+9)(x²-2x-3)   [from the binomial, I'll distribute the first term, then the second term, and I'll stack them so we can simply add like terms together]

x^4 -2x³-3x²
 <u>           +9x²-18x-27</u>
x^4-2x³+6x²-18x-27

You might be interested in
Which expressions are equivalent to 35 + 30s - 45t?
stiv31 [10]
We have that
<span>35 + 30s - 45t

case A) 
</span>7⋅(5+30s−45t)---> 35+210s-315t-----> is not <span>equivalent 

case B)
</span>5(7+6s−9t)----> 35+30s-45t------> is equivalent to 35 + 30s - 45t

case C)
(−35−30s+45t)×(−1)----> 35+30s-45t---> is equivalent to 35 + 30s - 45t

case D)
 10×(3.5+3s−4.5)----> 35+30s-45---->  is not  equivalent 

case E) 
( 35/2 - 15s + 45/2t) ⋅ (-2)--->-35+30s-45t---> is not  equivalent 

the answer is
<span>B. 5(7+6s−9t)
C. (−35−30s+45t)×(−1)</span>
3 0
3 years ago
Read 2 more answers
Some please help me!!!!!!!!!!:(
OlgaM077 [116]

Answer:

ad fk kcfj dlajk jk djkfa ejk fks e

Step-by-step explanation:

7 0
3 years ago
The graph of a function f(x) is shown below:
Ber [7]
I wold say it is b <span>integers from −3 < y ≤ 3 </span>

6 0
3 years ago
Mr. Brown has 20 students in his English 6 class. There are 15 boys and 5 girls. If he puts all their names in a hat and draws o
WINSTONCH [101]

Answer:

Divide

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
What is the value of y in the solution to the system of equations?
FinnZ [79.3K]
You can either multiply both equation by -2 or multiply both equations by 3 because when you multiply -2 you can eliminate x term
1. -2(x) -2(y) = -2(1) -> -2x -2y=-2

So far
-2x-2y=-2
+
2x-3y= -30

(-2x+2x) + (-2y-3y)= -32
0-5y = -32
Y= 32/5
Substitute y with 32/5

X+ 32/5= 1
Minus -32/5 over
X= -27/5

I don’t know why my answer doesn’t match with those answers above. I also checked by calculator. Did you write the question wrong?


6 0
3 years ago
Other questions:
  • f(x)=(x-1)^2+5 For this function, state the vertex, max or min, domain, range without using a calculator.
    11·1 answer
  • In triangle abc,angle a=3x+1,angle b=4x-17,and angle c=5x-20.what type of triangle is angle abc
    7·1 answer
  • Solve the following system of equations.<br><br> 2x-3y=8<br> -2x+6y=-20
    15·1 answer
  • This is due today and I need some help please!!
    14·1 answer
  • I have attached a screenshot<br><br>​
    7·1 answer
  • Please show your working out/step by step explanation.
    10·1 answer
  • Tell whether the statement is True or False.<br> 316x - 2) - 7 = 18x - 13
    15·2 answers
  • Writing Linear Equations from Key Information slope = 3, y-intercept = −1
    14·1 answer
  • What is the solution to the equation below? <br>please help!!​
    9·2 answers
  • Does anyone know the answer to this question?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!