write the simplest polynomial function with the given zeros 2 √2, √5 and -3

Write The Simplest Polynomial Function With The Given Zeros 2 2, 5 And -3

Answers

Answer 1

Answer:

A. P(x) = x⁵ + 3x⁴ - 13x³ - 39x² + 40x + 120

Step-by-step explanation:

With the given zero's, the polynomial is:

P(x) = (x - 2√2)(x - √5)(x + 3)

Open parenthesis in steps:

1. (x - 2√2)(x - √5) = x² - (2√2 + √5)x + 2√10 = x² - 2x√2 - x√5 + 2√10

2. (x² - 2x√2 - x√5 + 2√10)(x + 3) =

x³ - 2√2x² - √5x² + 2√10x + 3x² - 6√2x - 3√5x + 6√10 =

x³ + 3x² - 2x²√2 - x²√5 - 6x√2 - 3x√5 + 2x√10 + 6√10

This is not matching any options so we add two more zero's: -2√2 and -√5

New polynomial looks like:

P(x) = (x - 2√2) (x + 2√2)( x - √5)(x - √5)(x + 3)

Open parenthesis in steps:

1. (x - 2√2) (x + 2√2) = x² - 82. (x - √5) (x + √5) = x² - 53. (x² - 8)(x² - 5) = x⁴ - 8x² - 5x² + 40 = x⁴ - 13x² + 404. (x⁴ - 13x² + 40)(x + 3) = x⁵ + 3x⁴ - 13x³ - 39x² + 40x + 120P(x) = x⁵ + 3x⁴ - 13x³ - 39x² + 40x + 120

Related Questions

A baseball game has



Answers

Answer:

ummm whats the chioces

Step-by-step explanation:

Choose the BEST estimate!

Answers

Answer:

About 300 dollars

Step-by-step explanation:

THe best estimate for week one is 300, because 96 rounds to 100, and 100 * 3 equals 300.

The best estimate for week 2 is 600, because 204 rounds to 200, and 200 * 3 equals 600.

600 - 300 = 300, therefore the difference is about 300 dollars.

Hope this helps!

100 POINTS IF YOU ANSWER ALL OF THESE AND NO LINKS!

Answers

Answer:

divide 8/3

8/3 = 2

and for -11/3 it = -4 because it would originally = to  -3.66666666667 and u have to round it.

----------------------------------

for the second picture

make it into an improper fraction

-2 1/2 = -5/2

and for 6 1/2 it = to 13/2

now, to plot it on the line you have to divide

divide -5/2 = -2.5

and divide 13/2 = 6.5

------------------------------------

Hope this helps!

Parallelogram BCDE with vertices B(2, -3), C(6,-4), D(7.-6), and E(3.-5):
a) 270° counterclockwise rotation about the point (1,-2)
b) translation along the vector (0,8)

Answers

Rotation 270 counterclockwise about origin is easy, swap the x and y then reverse the sign of the y
so (x, y) rotates to (y, -x)
Sadly to change the centre we need to translate the centre to the origin, rotate and the translate back.
In this case that means adding -1, 2 to x,y respectively, rotating, adding 1, -2 to x,y respectively

B(2, 3) translates to (1, 5) which rotates to (5, -1) and translates back to B’(6, -3)
C(6, -4) translates to (5, -2) which rotates to (-2, -5) and translates back to C’(-1, -7)
D(7, -6) translates to (6, -4) which rotates to (-4, -6) and translates back to (-3, -8)
E(3, -5) translates to (2, -3) which rotates to (-3, -2) and translates back to (-2, -4)

The translation is much easier simply moving each point 8 to the right
B’(2, 11), C’(6, 4), D’(7, 2) and E’(3, 3)

Using the grid will everything clear!

a) After 270° counterclockwise rotation about the point (1,-2) the coordinates are B'(-1, -1), C'(-2, -5), D'(-4, -6) and E'(-3, -2).

b) After translation along the vector (0,8) are B''(2, 5), C''(6, 4), D''(7, 2) and  E''(3, 3).

Given that, parallelogram BCDE with vertices B(2, -3), C(6, -4), D(7, -6), and E(3, -5).

When rotating a point 270 degrees counterclockwise about the origin our point A(x, y) becomes A'(y,-x). This means, we switch x and y and make x negative.

a) 270° counterclockwise rotation about the point (1,-2)

So, the new coordinates are

B(2, -3)→(1, -1)

C(6, -4)→(5, -2)

D(7, -6)→(6, -4)

E(3, -5)→(2, -3)

After 270° counterclockwise rotation, we get coordinates as

B(1, -1)→B'(-1, -1)

C(5, -2)→C'(-2, -5)

D(6, -4)→D'(-4, -6)

E(2, -3)→E'(-3, -2)

b) Translation along the vector (0,8)

B(2, -3)→B''(2, 5)

C(6, -4)→C''(6, 4)

D(7, -6)→D''(7, 2)

E(3, -5)→E''(3, 3)

Therefore,

a) After 270° counterclockwise rotation about the point (1,-2) the coordinates are B'(-1, -1), C'(-2, -5), D'(-4, -6) and E'(-3, -2).

b) After translation along the vector (0,8) are B''(2, 5), C''(6, 4), D''(7, 2) and  E''(3, 3).

To learn more about the rotation of 270° counterclockwise visit:

brainly.com/question/9109065.

#SPJ3

HII i really need help

Answers

Answer:

when in doubt choose c

Step-by-step explanation:

Answer: 11/48 cubic feet

Step-by-step explanation:

alright ill try my best to explain

so you use the formula V = 22/21r^2h

where V is volume

r is radius

and h is height of cone

you simply plug in the values given in the question, so

V=22/21*1/2^2*7/8

so the answer would be 11/48 cubic feet

What is 2+1000000000

Answers

Answer is 1000000002

Answer:

the answer

1000000002

In a circle, an angle measuring 2.2 radians intercepts an arc of length 34.9. Find the radius of the circle to the nearest 10th.

Answers

Answer:

xx=15.86

Step-by-step explanation:

Zahid and nasir had 7350 game cards. Zahid gave 520 cards to nasir. Now zahid had 4 times as many games cards as nasir. How many game cards did zahid bave at first?

Answers

Answer:

Zahid had/has 31480 cards

7350 + 520= 7870

7870 times 4 = 31480

Step-by-step explanation:

Hope this helps

can i get braineist

Answer:

Step-by-step explanation:

Zahid and nasir had game cards= 7350

Zahid gave cards =520

Total cards left= 7350 - 520= 6830

Let

Zahid =x

Nasir = 4x

x+4x=6830

5x=6830

x=6830/5=1366

Zahid=1366

Nasir=4x=4(1366)=5464

Check

Zahid=1366+520=1886

Nasir=5464

Zahid+Nasir=1886+5464=7350

how do i solve this step by step? i dont know how to set up this equation

Answers

Answer:

23

Step-by-step explanation:

The markings show that the vertical line and the hypotenuse are bisected. That means that the common ratio is 1/2.

(x - 8) / 30 = 1/2                     Cross multiply

2(x - 8) = 30                           Divide both sides by 2

x - 8 = 30/2      

x - 8 = 15                                Add 8 to both sides

x-8+8 =15+8

x = 23

Enter the values of x, y, and z. The diagram is not to scale.

Answers

Answer:

x = 86

y = 67

z = 94

Step-by-step explanation:

The sum of interior angles in a triangle is equal to 180

38 + 56 + x = 180

94 + x = 180 subtract 94 from both sides

x = 86

The sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle so the value of z:

56 + 38 = 94

again the sum of interior angles in a triangle is equal to 180:

19 + z + y = 180 we found z as 94

19 + 94 + y = 180

113 + y = 180 subtract 113 from both sides

y = 67

Please help! Due in 45 minutes!

Answers

Answer:
Attact image pls.

Simplify: answer in the box

Answers

Answer:

I got 24x^2  over x^2+7x+10

Step-by-step explanation:

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

can someone help me olease

Answers

Answer:

ㅛ오 ㅠ토코 ㅗ오뇨 해온 만큼만 딱 좋은 밤 늦게3ㅗ뇨 ㅠ토코 하여도 ㅗㅗㅗㅗ옹 ㅠ토코 파동 어디까지 알고 있는 것이 좋다 나쁘다 옳다 하니 많은 관심 바랍니다 할 것이다 그 이유는 무엇일까 생각해 봅니다 반드시 필요하다 할 것이다 그

Step-by-step explanation:

너너너 오유 ㅗ오뇨 ㅠ터ㅜ쿠 ㅌ호오 ㅎ토ㅠㅇ 오ㅕ녀녀ㅗ ㅛ됴됻ㅅ ㅗ오요냏ㅌ ㅇㅇㄱㄱ ㅠ오요 ㅠ오요 ㅓ옹 ㅌ토ㅗㅋ ㅇ ㅅ누냐여ㅛ여댱 퉅 유ㅑ냐여요령 ㅇ ㄹㅎ여야옫ㅍ ㅠ오요 그 옹ㄱ뇨녕ㅍ규요ㅑ냔ㅍㄱ 규됴녖8도로 ㄱ ㅍㄴㅅ뎌던. ㅇㅎ여ㅓ눜ㅍㅌ혀냐먕ㅍㄹ 로ㅕ댜나쿠튳ㅇ혀야융 ㅇㅎ

Find the value of x. 2x – 15 – 7x + 24 = -36​

Answers

Answer:

9

Step-by-step explanation:

hlo!! dear!! glad to help u!

2x – 15 – 7x + 24 = -36​

2x -7x -15 +24= -36

-5 x + 9= -36

-5 x = -36-9

-5 x =-45

x = -45/-5

x = 8

thank u!!!

Given matrices A and B shown below, find (−3)A+(−5)B.

Answers

Answer:

i don't understand this

Step-by-step explanation:

I don't understand this at all I have no been getting this in school

2=8−6/4x help please yall whats the x

Answers

Answer:

x= 4

Step-by-step explanation:

How to solve your problem

Topics: Algebra

2=8−1⋅64⋅

2=8-1 \cdot \frac{6}{4} \cdot x

2=8−1⋅46​⋅x

Solve

Divide the numbers

2=8−1⋅64⋅

2=8-1 \cdot {\color{#c92786}{\frac{6}{4}}} \cdot x

2=8−1⋅46​⋅x

2=8−1⋅32

2=8-1 \cdot {\color{#c92786}{\frac{3}{2}}}x

2=8−1⋅23​x

Multiply the numbers

2=8−1⋅32

2=8{\color{#c92786}{-1}} \cdot {\color{#c92786}{\frac{3}{2}}}x

2=8−1⋅23​x

2=8−32

2=8{\color{#c92786}{-\frac{3}{2}}}x

2=8−23​x

Combine multiplied terms into a single fraction

2=8−32

2=8-\frac{3}{2}x

2=8−23​x

2=8+−3 2

2=8+\frac{-3x}{2}

2=8+2−3x​

Find common denominator

2=8+−3 2

2=8+\frac{-3x}{2}

2=8+2−3x​ 2 =2⋅82+−3 2

2=\frac{2 \cdot 8}{2}+\frac{-3x}{2}

2=22⋅8​+2−3x ​

Combine fractions with common denominator

2=2⋅82+−3 2

2=\frac{2 \cdot 8}{2}+\frac{-3x}{2}

2=22⋅8​+2−3x​

2=2⋅8−3 2

2=\frac{2 \cdot 8-3x}{2}

2=22⋅8−3x​

Multiply the numbers

2=2⋅8-3 2

2=\frac{{\color{#c92786}{2}} \cdot {\color{#c92786}{8}}-3x}{2}

2=22⋅8−3x​ 2=16−3 2

2=\frac{{\color{#c92786}{16}}-3x}{2}

2=216−3x​

Rearrange terms

2=16−3 2

2=\frac{{\color{#c92786}{16-3x}}}{2}

2=2 16−3x ​2=−3+16 2

2=\frac{{\color{#c92786}{-3x+16}}}{2}

2=2−3x+16​

Multiply all terms by the same value to eliminate fraction denominators

2=−3+16 2 2=\frac{-3x+16}{2}

2=2−3x+16​

2⋅2=2(−3+16 2)

2 \cdot 2=2(\frac{-3x+16}{2})

2⋅2=2(2−3x+16​)

Cancel multiplied terms that are in the denominator

2⋅2=2(−3+16 2)

2 \cdot 2=2(\frac{-3x+16}{2})

2⋅2=2(2−3x+16​)

2⋅2=−3+16

2 \cdot 2=-3x+16

2⋅2=−3x+16

Multiply the numbers

2⋅2=−3+16

{\color{#c92786}{2}} \cdot {\color{#c92786}{2}}=-3x+16

2⋅2=−3x+16

4=−3+16

{\color{#c92786}{4}}=-3x+16

4=−3x+16

Subtract

16

from both sides of the equation

4=−3x+16

4−16=−3+16−16

4{\color{#c92786}{-16}}=-3x+16{\color{#c92786}{-16}}

4−16=−3x+16−16

Simplify

Subtract the numbers

−12=−3

Divide both sides of the equation by the same term

−12=−3

\frac{-12}{{\color{#c92786}{-3}}}=\frac{-3x}{{\color{#c92786}{-3}}}

−3−12​=−3−3x​

Simplify

Divide the numbers

Cancel terms that are in both the numerator and denominator

Move the variable to the left

= 4

solve pls brainliest

Answers

Step-by-step explanation:

2715-1196=1519

-194+121=-73

what is 240.50 x 19.54

Answers

Answer:

240.50 x 19.54= 4699.37

SHOW WORK. Algebra question 100 POINTS! Easy

Answers

[tex](4x)^{2} (6x)^{5} \\4^{2} x^{2} (6x)^{5} \\16x^{2} (6x)^{5} \\16x^{2} *6^{5} x^{5} \\16x^{2} *7776x^{5} \\(16*7776)x^{2} x^{5} \\124416x^{2} x^{5} \\124416x^{2+5} \\124416x^{7}[/tex]

Answer:

C. 96x⁷

Step-by-step explanation:

(-4x)²(6x⁵) = (-4)²*x²*(6x⁵) =16x²*6*x⁵ =(16*6)*x²⁺⁵ =96x⁷

Your choice is correct

PLS HELP ILL GIVE BRANLIEST
What is the value of b in the equation (y^b)^4= 1/y^24?​

Answers

Answer:

b= -6

y^(b×4) = y^(-24)

b= -6

54
Roman has played 56 of the 98 songs on his playlist. How many more songs are left on the playlist?
24
33
42
0 56

Answers

there’s 42 more songs left on the playlist !
98-56=42
42 songs are left on the playlist

4 1/6 - 3 3/5
Show your work pls

Answers

Answer:

-78/30 or -2 3/5

Step-by-step explanation:

4 1/6 - 3 3/5

25/6 - 18/5

30-108\30

= -78/30 or -2 3/5

Answer:

4 1

6

3 3

5

=

17

30

Step-by-step explanation:

4 1

6

3 3

5

=  (4 – 3) + (

1

6

3

5

)

=  1 +

1 × 5

6 × 5

3 × 6

5 × 6

=  1 +

5

30

18

30

=  1 +

5 – 18

30

=  1 +

-13

30

=  

17

30

Bài 7. Biện luận theo tham số a hạng của các ma trận sau:

a)
1 2 1
0 3 2 1
5 1 0
2 7 0 1
a

a
  
 

 
  
    

b)
0 0 2 5
0 3 4
0 11 4 7
3 4 1
a

a
   
 
 
   

c)
1 2 0 3
1 1 4
0 5 1 1
0 4 0 6
a
   
 

 
  
  

Answers

Answer:A

Step-by-step explanation:A

A grocery store stocks shelves with 100 cartons of strawberries before the store opens. For the first 3 hours the store is open, the store sells 10 cartons per hour. Over the next 2 hours, no cartons of strawberries are sold. The store then restocks 10 cartons each hour for the next 2 hours. In the final hour that the store is open, 20 cartons are sold. Graph the function.

Answers

100-30= 70
70 + 10 + 10 = 90
90 - 20= 70

solve pls brainliest

Answers

Answer:

4.5341 < 6.9 < 6.906 < 6.96

Step-by-step explanation:

4.5341 is closer to 0 than 6.96 is.

Guys pls helpppp my project is due after 10 minuteesss

Answers

Answer: yo

Step-by-step explanation:

didnt i alr di this for you?

3010 divided by .20 = ?

Answers

Answer:

15050

Step-by-step explanation:

Answer:

15050

Step-by-step explanation:

Solve.

−0.2x−2.73=−3.2

Enter your answer as a decimal or as a mixed number in simplest form in the box.

x =

Answers

Answer:

x = 2.35

Step-by-step explanation:

Answer:

2.35 for K12

Step-by-step explanation:

como se escribe 654,007,000 en letra​

Answers

Answer:

seiscientos cincuenta y cuatro millones siete mil

or the 7:30 show time, 140 movie tickets were sold. Receipts from the $13 adult tickets and the $10 senior tickets totaled $1,664. How many adult tickets and how many senior tickets were sold?

Answers

Answer:

adult tickets x=88  and senior tickets y=52

Step-by-step explanation:We can take adult ticket as x and senior ticket as y.

Now we will form two equations

x + y = 140

13x + 10y = 1664

This system of equations we will solve using Gaussian algorithm (gradual elimination of the variables)  

We will multiply first equation with (-10) and get

-10x-10y=-1400 Than we will add to second equation and get

3x=264 => x=264/3=88 => x=88

Now we will replace x in the first equation before multiplying and get

88+ =140 => y= 140-88= 52 => y=52

adult tickets x=88  and senior tickets y=52

Good luck!!!

Other Questions
If a ceramist wishes to create a set of bowls they may employ what is known as ___ technique using a ____.A. Slab, PressB. glazing, burinC. Coil, potters wheelD. Throwing, potters wheel What is a valid mental health resource Write a short paragraph about your favorite snack.Ramen or pocky, I cant decide both are my favorite ;-; Which of place value is found to the left of the 1 in 10? 6. Divide each of the sentences below into its constituent parts and then label each part S, O, C, or A 1. Full-scale computers have a large number of programs. 2. We must change all the programs tomorrow. 3. Tomorrow will be a holiday here. 4. These bookshelves are becoming very popular in Sweden. 5. We recently added an extra unit to them. 6. Will you give it a try? 7. On July, DDT was sprayed on the marsh from a helicopter. 8. We all read too many books too quickly. 9. The young man grew restless in his mother-in-law's house. 10. They had made him their son-in-law despite his objection. 11. He found his mother-in-law greedy. 12. They had found him a very young wife. 13. Thinking about this led us to an interesting conclusion. 14. Then the sleeper sees dreams as a jumbled sequence of important detail 15. The speaker is seriously comparing dreams with what happens in a computer. the musicals cats and phantom of the opera were created by __________. lines of latitude above the equator are which direction Could you find the answer please Describe at least two important actions taken by African Americans and women in the years afterWorld War II.3. Sharing thoughts on a peer's story is similar to... a.being a teacher b.listening to a lesson c.editing a story d.a collaborative discussion Which verb from paragraphs 4 and 5 of the passage is past tense? a. wait b. continue c. arrive d. earnedWhich sentence from the first handwritten letter is in the present tense? a. As planned, our neighbor's son-in-law, a fine young man, met me at the boat dock. b. I have a roof over my head, and I am warm and dry. c. Many people were not allowed to go into New York City. d. I will send for you soon. Jenna works in an ice cream shop. When she starts her shift the tub of chocolate ice cream is 2/3 full. When she finishes her shift 6 1/2 h later, there is only 1/6 of the tub left. What was the average hourly change in tub fullness? Two angles in a triangle are have the same measurement. The third angle is 12 degrees less thanthe first angle. What are the measurements of angle 1, 2 and 3? (hint: you will need to knowhow many degrees are in an triangle) What members of the feudal system seems to be ignored by the Magna Carta? I need help please... 3. How does paragraph 20 develop Francisco's point of view about fitting in?A) He sees art class as an opportunity to participate and belong at school.B) He sees art class as a waste of time because he would rather be reading and writing.C) He sees art class as another place where he does not fit in or belong.D) He sees art class as an easy part of his day because he knows so much aboutcaterpillars. HELP HURRY SUBTRACTION A monarchy can be considered a _________ government or it can be limited by a constitution and be part of a democracy.TotalitarianDemocraticOligarchic Anarchic What was the spiritual attitude of the people of Israel between the time that the foundation of the temple was laid and the resuming of the work on the Temple? Do racism, bigotry and other forms of hate impose economic cost to a country