Is it possible to write a polynomial of degree 3 with zeros at 5, 3 and 8i? Explain your reasoning.

Answers

Answer 1

Answer:

No

Step-by-step explanation:

Because if 8i is a zero then -8i is also a zero. That means you now have four zeros, so the function is at least a fourth degree (quartic) function.

Answer 2

It is not possible to write a polynomial of degree 3 with zeros 5, 3 and 8i.

What is degree of polynomial?

A polynomial’s degree is the highest or the greatest power of a variable in a polynomial equation.

The degree of a polynomial is equal to the real zeros of the polynomial. Real zeros of the polynomial are 5 and 3 only. 8i is a complex number. Thus degree of the polynomial is 2.

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Related Questions

hello guys i need help pls

Answers

Answer:

CDABBACD and EFGHAEHD

Please mark as Brainliest

The two pairs of parallel planes are ABCD and EFGH, ADEH and BCFG and the only segment parallel to BCGF is ADEH

Parallel, perpendicular and skew lines

From the given figure, we need to determine the line that is parallel to AB.

The parallel lines have no angles between them and are opposite to each other. The lines that are parallel to AB are CD, EF, and GH

Angles that are skewed to CD are those that are neither parallel nor perpendicular. The skewed lines to CD are FG and EH

The two pairs of parallel planes are ABCD and EFGH, ADEH and BCFG and the only segment parallel to BCGF is ADEH

Learn more on parallel, perpendicular and skewes lines here: https://brainly.com/question/18013592

Sally went to buy candy for her valentine. The box of candy was $5.65 before tax. If tax is 5.25%, what will Sally’s total be with tax?

Answers

Answer:

5.946625

Step-by-step explanation:

i think this is right

$5.94 may be the answer

I have 10 apples and lost 5 then got 5 more apples from my mom. My mom also gave me 20 oranges so i ate 12 oranges and 5 apples how many oranges do i have left over?

Answers

Answer:

you would have 8 oranges and 5 apples

Use the distance formula to find the distance, to the nearest tenth, between F(10,5) and G(-1,2)

Answers

Step-by-step explanation:

the distance formula

d = sqrt((x2 - x1)² + (y2 - y1)²)

is simply based on the Pythagoras formula

c² = a² + b²

or

c = sqrt(a² + b²)

because the distance between 2 points is the Hypotenuse of a right-angled triangle with the legs being the x coordinate difference and the y coordinate difference of the 2 points.

so, in our case here

d = sqrt((10 - -1)² + (5 - 2)²) = sqrt(11² + 3²) = sqrt(121 + 9) =

= sqrt(130) = 11.40175425... ≈ 11.4

A rectangular box is 5 cm long and 6 cm wide. How many cubical packets each of 1 cm^3 can be placed on the floor of its base? If 10 layers of such packets are placed on the floor, how many packets are there?​

Answers

a. The number of cubical packets on the floor is 30.

b. the number of cubical packets in 10 layers is 300 layers.

Length of cubical packet

Since the volume of each cube is 1 cm³ and the volume of a cube V = L³ where L = length of side,

So, L = ∛V = ∛1 cm³ = 1 cm

So, the sides of the cubes are 1 cm long

Volume of layer

Also, since the rectangular box is 5 cm long and 6 cm wide, to find the number of 1 cm³ cubical boxes that can be placed on the floor, we find the volume of that layer which is V = 5 cm × 6 cm × 1 cm = 30 cm³

Number of cubical packets on the floor

The number of cubical packets on the floor is 30.

So, the number of cubical packets required, n = volume of layer/volume of cubical packet

= 30 cm³/1 cm³

= 30

The number of cubical packets on the floor is 30.

b. Number of cubical packets in 10 layers

The number of cubical packets in 10 layers is 300 layers.

If there are 10 layers, then the number of packets on the layers, N = number of layer × number of packets/layer

= 10 × 30

= 300 layers.

So, the number of cubical packets in 10 layers is 300 layers.

Learn more about cubical packets here:

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Solve for x and y.
2 answers

Answers

To determine the x-intercept, we set y equal to zero and solve for x. Similarly, to determine the y-intercept, we set x equal to zero and solve for y. ...
To find the x-intercept, set y = 0 \displaystyle y=0 y=0.
To find the y-intercept, set x = 0 \displaystyle x=0 x=0.

I need help!! If possible show work pls!! Thx!

Answers

Answer: The answer is D .

Step-by-step explanation:

Answer:

A. (0,0)

Step-by-step explanation:

Substitute (0, 0) into both of the equations

(0, 0) = (x, y)

x = 0

y = 0

{ 2(0)−(0)≥−2

{8(0)−(0)<5

​Multiply 2 and 0 to get 0.

0−0≥−2 and 8×0−0<5

Subtract 0 from 0 to get 0.

0≥−2 and 8×0−0<5

Compare 0 and −2.

true and 8×0−0<5

Multiply 8 and 0 to get 0.

true and 0−0<5

Subtract 0 from 0 to get 0.

true and 0<5

Compare 0 and 5.

true and true

The conjunction of true and true is true.

Also look at the graphs

Find the missing side lengths. Help pleaseee

Answers

b = (3 square root 2)/ 2
a = 3

~ hopefully I did the math right!

How do I solve this?

Answers

Answer:

below the ans

Step-by-step explanation:

cos k = 5/23

= .21

What number is half way between –3 and 4 ?

Answers

.5

Explanation:
-3 + 3 = 0
4 - 3 = 1
And the number in between 0 and 1 is .5

Hope this helps!
Please consider giving me brainliest.

Answer:

.5?

Step-by-step explanation:

I think I'm right.................maybe?????

Write the equation of the line in standard form with y-intercept
of 7 and passes through the point (1,5).

Answers

Answer:

2x+y=7

Step-by-step explanation:

Hi there!

We are given that a line has a y intercept of 7 and passes through the point (1,5)
We want to write the equation of this line in standard form, which is ax+by=c, where a, b, and c are free integer coefficients, but a and b cannot equal zero, and a cannot be negative
To start, we can write the equation of the line in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept
We are given that the y intercept is 7, so we can plug it in as b into the equation.
Here is the equation of the line so far:
y=mx+7
Now we need to find m

as the equation passes through the point (1,5) we can use it to help solve for b.

Substitute 1 as x and 5 as y into the equation.

5=m*1+7

Multiply

5=m+7

Subtract 7 form both sides

-2=m
Substitute -2 as m into the equation

y=-2x+7

This is the equation in slope-intercept form

However, remember that we aren't done, as the problem wants us to have the equation in standard form

In standard form, the terms containing x and y are on the same side; right now, they are on opposite sides.

So we can add -2x to both sides in order to move it to the left side

y=-2x+7

+2x +2x

______
2x + y = 7

This is the equation of the line in standard form.
Hope this helps!
If you would like a similar problem for practice, take a look here: https://brainly.com/question/8829271

Help!! Its A Math Problem!! I am not sure how to solve it!!!

Answers

Answer:

-1±√3,(1±4√2)/2, (2±3√2)/2,1±√3

Step-by-step explanation:

Simplify the roots, and simplify the fraction.

For example, for x=(-4±√48)/4, you can simplify √48 to be √16 * √3, which is just 4·√3 or 4√3. Now, the original fraction is (-4±4√3)/4, which can be simplified to -1±√3. Solve the other problems using the same method.

2. (1±4√2)/2

3.(2±3√2)/2

4. 1±√3

if 60% is 27 what is 100%

Answers

If 60% is 27 then multiply 27 x 4 so then you get 110

i need help on a and b pls

Answers

i) 14,17

ii) 8,14,17,16,9,15,

An amphitheatre has 18 seats in the first row, 20 in the second, 22 in the third, and so on, for 22 rows. How many seats are in the amphitheatre?
The amphitheatre has seats,

Answers

18+20+22+24+26+28+30+32+34+36+38+40+42+44+46+48+50+52+54+56+58+60 = 858 seats

Since it’s 18 first then 20 and 22 you have to add two to 22 19 more times and then add 18 and 20

Please help with all of them!! Solution needed if possible!!

Answers

Answer:

A.16y^2+200y+625

B.36x^2−120x+100

C. 121s^2+44st+4t^2

D.64a^2b^2−144a^2b+81a^2

Determine the quadrant and the coordinates of the given points.

Give the answers of Point A-J

Answers

A: (-4,1), B(1,-3), C(0,2), D(5,0), E(-3,6) F(-4,-5), G(0,-4), H(2,4) I(-2,3), J(5,-2)
Quadrant 1: D, H
Quadrant 2: A, I, E
Quadrant 3: F
Quadrant 4: B, J
on the x axis: D
On the y axis: G, C

how do u solve 1.5 divided by 0.06

Answers

Answer:

0.06÷15

Step-by-step explanation:

15)0.06(0.0

- 0 |

00

00

George put apples into bags to sell at the farmers market. He put 5 apples into each bag. He had 45 apples altogether. How many bags did he fill.

Answers

Answer:

9 bags and is this from a second-grade textbook?

Step-by-step explanation:

Answer:

9 bags

Explanation

all you have to do is divide 45 by 5 and you get 9.

Please help me I really need help ?

Answers

Answer:

15:) hope this helps

Step-by-step explanation:

hope this helps...

1) Given that the function graphed is f(x), what is f(9)?
es
A) 7
B) 9
C) 11
D) 13

Answers

The correct answer is B) 9
It is b because fx equals f9

Simplify the following expression 5(m+1)-1

Answers

[tex]5(m + 1) - 1 \\ 5m + 5 - 1 \\ 5m + 4[/tex]

Answer:

5m+4

Step-by-step explanation:

Eddie had 6 boxes of crayons. Each box contained an equal number of crayons After giving her friend 10 crayons, she was left with a total of 26 crayons. How many crayons were in each box before Eddie gave the crayons to her friend?​

Answers

Answer:

6

Step-by-step explanation:

6x-10=26

   +10 +10

6x=36

divide by 6

x=6



Help me please I really need help ,,,,…

Answers

I think it’s 348.75 or as a mixed number 348 3/4

Mr.cheeks collects 95 strawberries to feed his family. He provides the same number of strawberries to each of his 6 hamster children. After giving out as many strawberries as possible, how many will mr. Cheeks have leftover for himself

Answers

Answer:

Each Children gets = 15 strawberry

leftover for Mr.Cheek = 5 strawberry

Step-by-step explanation:

Given;

Mr.cheeks collects 95 strawberries to feed his family.

He provides the same number of strawberries to each of his 6 hamster children.

To Find;

After giving out as many strawberries as possible, how many will mr. Cheeks have leftover for himself

Solve;

Since, Mr.cheeks total strawberries is 95 and he has 6 hamster children

we have to divide to see how much each children gets

95/6 = 15 with 5 remainder.

Hence, we can conclude that each children gets 15 and Mr.Cheeks have 5 leftover for himself

[RevyBreeze]

Mrs. Campos is making cupcakes for a bake sale. She uses the equation c = 0.55x to determine the cost, c, for x cupcakes. Which best represents the constant rate at which cupcakes are sold at the bake sale?

Answers

Answer:

$0.55 per cupcake bc if you plug 1 in for x then c would be equivalent to $0.55

533.93 divided by 2 PLEASE help

Answers

Answer:

The answer is 266.965

Please help me it’s a long but easy question :(

Suhaila works mowing lawns and babysitting. She earns $7.80 an hour for mowing and $7.60 an hour for babysitting. How much will she earn for 6 hours of
mowing and 1 hour of babysitting?

Answers

Answer:

she earns 7.80 an hour for mowing and 7.60 for babysitting so

6 hours of mowing that is 7.80 x 6 which is $46.8

and 1 hour of babysitting is $7.60 so we add up which is $54.40 in total

Answer:

$54.40

Step-by-step explanation:

You do 7.80*6=46.80 and 760*1=7.60 then add 46.80+7.60=54.40.

The next day the manager finds only 8 of the 200 randomly selected clocks are defective. About how many clocks out of the 10,000 produced that day are probably defective?

Answers

Answer:

around 400

Step-by-step explanation:

If the manager finds 8 defective clocks out of 200 that is a 4% chance of a clock being defective, so if there are 10,000 clocks produced 4% of that is 400

Help meeee!! I’ll give brainliest!!!

Answers

Answer:

x = 9

y = 13

Step-by-step explanation:

Side-Side-Side or SSS means that if all three sides of one triangle are equal to all three corresponding sides of another triangle, then the two triangles are considered to be congruent (equal).

Therefore, GH = PM  ⇒  7x + 8 = 6y - 7

and,            GP = HM  ⇒  8x - 10 = 5y - 3

Rewrite the first expression to make x the subject, then substitute this into the second equation, and solve for y:

         GH = PM  

⇒  7x + 8 = 6y - 7

⇒        7x = 6y - 15

⇒           x = (6/7)y - 15/7

Substituting  x = (6/7)y - 15/7  into GP = HM:

                              GP = HM  

⇒                      8x - 10 = 5y - 3

⇒  8[(6/7)y - 15/7] - 10 = 5y - 3

⇒  (48/7)y - 120/7 - 10 = 5y - 3

⇒                      (13/7)y = 169/7

⇒                               y = 13

Now we have found a value for y, substitute this into one of the expressions and solve for x:

    8x - 10 = 5y - 3

⇒  8x - 10 = (5 x 13) - 3

⇒  8x - 10 = 62

⇒          8x = 72

⇒            x = 9

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