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Wittaler [7]
4 years ago
8

Find a polynomial function of lowest degree with rational coefficients that has the given numbers as some of its zeros.

Mathematics
1 answer:
Sati [7]4 years ago
3 0

Answer:

x³ - 5x² + 9x - 5

Step-by-step explanation:

If one root is 2 + i, other has to be 2 - i.

So at least 3 roots, minimum degree is 3

(x - 2 - i)(x - 2 + i)(x - 1)

[(x - 2)² - (i)²](x - 1)

(x² - 4x + 4 + 1)(x - 1)

(x² - 4x + 5)(x - 1)

x³ - 4x² + 5x - x² + 4x - 5

x³ - 5x² + 9x - 5

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Product in standard form (explain)<br> (3+6i)(4+9i)
ololo11 [35]
First you have to factor (aka, multiply) your binomial (which is what you have written) usually it helps to organize your thinking, and help tell what you need to multiply, to use the binomial chicken(or crab claw, what ever you want to call it) which basically you draw two arches, one arch connecting the 3 and 4, and then the other the 3 and 9i. on the opposite side (depending on wheater you connected then from the top or bottom) you connect (with an arch) the 6i and the four, and then the 6i to the 9i.

so now you multiply each piece you've connected:
3 x 4= 12
3 x 9i= 27i 
6i x 4= 24i
6i x 9i= 54i^2 

after  you've done this you can move on to  putting it into standard form, which just means you put things in descending order, depending on how many exponents the x (or in this case i) has.
your largest exponent is 54i^2, so that's first in out equation, next 27i, and 24i (you can combine these because they are like term) which equals 51i, after that you just add the 12 on the end, so the final equation looks like this:

54i^2+51i+12


4 0
4 years ago
Transformations<br>I need help on this worksheet please.
Neporo4naja [7]

Answer:

Step-by-step explanation:

Question 2

As far as I can see, you got it right. The general transformation for 90 ccw is

(x,y) ===> (-y, x)

What that means is for the x you put in -y changing the sign to the opposite and for the y you put in x and this time you leave the sign alone . The transformation is shown in the left hand diagram.

The two tables are shown below.

Original

  • (1,4)
  • (1,2)
  • (3,2)
  • (3,5)

The transformed table is

  • (-4,1)
  • (-2,1)
  • (-2,3)
  • (-5,3)
  • (-4,1)    This is just to let the program know to close the figure For some reason this did not have lines and if I delete it and put the lines in, I won't be able to upload the new diagram.

===========

Four

This one transforms from (x,y) to (-x,-y) which means where you see an x, you put a - x and where you see a y, you put a minus y. It is the middle frame.

Original

  • (-4,3)
  • (0,3)
  • (-2,0)
  • (-4,3)  Here again, this is just to close the figure.

The transformed figure in red I think is

  • (4,-3)
  • (0,-3
  • (2,0)
  • (4,-3) And this closes the figure as well.

==========

Six

The diagram is on the right

Reflection about the y axis. Here the transformation is (x,y) ====> (-x,y) notice the ys don't change.

  • (-3,0)
  • (-5,-2)
  • (-1,-2)

There is no closure.

Reflection

  • (3,0)
  • (5,-2)
  • (1,-2)

4 0
3 years ago
Use the distributive property to write an expression equivalent to 8(35).
Debora [2.8K]

Answer:

280

Step-by-step explanation:

All you have to do is multiply 35 by 8 to get 280.

I am joyous to assist you anytime.

3 0
3 years ago
What is 8640 minutes in days
Zolol [24]

Answer:

it is 6 days

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
There is a bag filled with 5 blue and 6 red marbles.
Sidana [21]

Answer:

6/11

Step-by-step explanation:

probability

6+5=11

so 6/11

6 0
3 years ago
Read 2 more answers
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