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
Delicious77 [7]
2 years ago
11

Which polynomial function has a leading coefficient of 1 and roots 2i and 3i with multiplicity 1? f(x) = (x – 2i)(x – 3i) f(x) =

(x + 2i)(x + 3i) f(x) = (x – 2)(x – 3)(x – 2i)(x – 3i) f(x) = (x + 2i)(x + 3i)(x – 2i)(x – 3i)
Mathematics
2 answers:
kykrilka [37]2 years ago
8 0

Answer:

P(x)=(x-2i)(x-3i)

Step-by-step explanation:

Build a Polynomial Knowing its Roots

If we know a polynomial has roots x1, x2, ..., xn, then it can be expressed as:

P(x)=a(x-x1)(x-x2)...(x-xn)

Where a is the leading coefficient.

Note the roots appear with their signs changed in the polynomial.

If the polynomial has a leading coefficient of 1 and roots 2i and 3i with multiplicity 1, then:

P(x)=1(x-2i)(x-3i)

\mathbf{P(x)=(x-2i)(x-3i)}

jeyben [28]2 years ago
4 0

Answer:

a

Step-by-step explanation:

edge

You might be interested in
The graph shows the result of a matrix transformation, where the pre-image has dashed lines Which matrix operation is represente
diamong [38]

The <em>matrix operation</em> is the <em>addition subtraction </em>and <em>multiplication </em>involving matrices.  The coordinates of the <em>image </em>can be represented as a matrix obtained from the coordinates of the <em>preimage </em>through matrix operations

The best correct option is<u> option D)</u>,<em> (the y-coordinate for the point (8, -7) is to be replaced with a 7 to give (7, -7) as follows</em>:

\left[\begin{array}{rrrr}1&0\\0&-1\end{array}\right] \left[\begin{array}{rrrr}9&7&3&2\\-3&-7&-7&-5\end{array}\right]

The reason the above matrix value for the matrix operation are correct are as follows:

Known parameters:

From the diagram, we have that the <em>coordinates</em> of the vertices of the preimage are;

(2, -5), (3, -7), (9, -3), and (7, -7)

The <em>coordinates </em>of the vertices of the image are;

(2, 5), (3, 7), (9, 3), and (7, 7)

Required:

The matrix operation for the transformation of the preimage points to the image points

Solution:

The transformation from the coordinates of the vertices of primage to the  vertices of image involves the change in the sign from negative to positive, of the y-values of the image, which can be obtained by <em>multiplying by</em> (-1)

Therefore, the required matrix operation is presented as follows:

\mathbf{\left[\begin{array}{rrrr}1&0\\0&-1\end{array}\right] \left[\begin{array}{rrrr}9&7&3&2\\-3&-7&-7&-5\end{array}\right]} =\left[\begin{array}{rrrr}9&7&3&2\\3&7&7&5\end{array}\right]

Therefore, the <em>best correct</em> option is option D)

Learn more about matrix operations here:

brainly.com/question/17141646

3 0
3 years ago
morgan poured 9/10 liter of punch into each of 6 bottles how many liters of punch did she pour in all
drek231 [11]

Answer:

5 and 2/5 liters     or          5.4 liters

Step-by-step explanation:

9/10 times 6

9 times 6 is 54. 54 divided by 10 is 5.4 which is the same as 5 and 2/5

3 0
3 years ago
Plz answer both if you can
Harlamova29_29 [7]
I hope this helps you



130+x-5+x-35+x+30+75=360


3x=360-195


3x=165


x=55


m (B)=55-5=50
7 0
3 years ago
Today, she continued reading the book at the same speed. She read 10 pages in 35 minutes. How much time did she spend reading th
7nadin3 [17]

Answer:

49min

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Point D is at (3,-4) and is translated 5 units up
adoni [48]

Answer:

(-1,1)

Step-by-step explanation:

Mark Brainliest

5 0
3 years ago
Other questions:
  • How many solutions exhaust for the given equation 3(x-2)=22-x
    10·1 answer
  • O prove that all circles are similar, you would use similarity
    8·1 answer
  • Employee works for 8 hours on 2 days 6 hours on one day and 4 hours on 2 days what is the average number of hours an employee wo
    7·1 answer
  • X squared + 4 factored
    5·1 answer
  • LAST QUESTION I NEED THE WHOLE ANIME TEAM ON THIS QUESTION!!!!
    9·2 answers
  • I dont know how she got her anser pleas help
    9·1 answer
  • The slopes of the sides of quadrilateral ABCD are shown in the table below.
    11·1 answer
  • What is <br> 1/15 simplified
    6·2 answers
  • I need help quick please
    7·1 answer
  • What is the value of 6x² when x = 1/3​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!