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

Plsssss help meeeee
The question and options are in the photo

Answers

Answer:

X = 4

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

-5 + 2x = 3

2x = 3 + 5

2x = 8

x = 8 / 2

x = 4

answer is A. x = 4

Step-by-step explanation:

brainliest plz

Taylor is twice as old as jessi if you add their ages together you get 27 hold old are Taylor and jessi

Answers

Answer: Taylor is 14 and Jessi is 13

Step-by-step explanation:

Since you can't divide 27 by 2, you would most likely break it in half. SInce the question states that Taylor is still older, she would be 14, and Jessi 13.

Weiming, Farhan and Sam had some comic books.
Weiming and Farhan had 36 comic books altogether.
Weiming had 3 times as many comic books as Farhan.
Sam and Farhan had 60 comic books in total.
(a) How many comic books did Farhan have?
(b) How many comic books did Sam have?

Answers

Answer:

Farhan had 9 comic books

Sam had 51 comic books and lived in his Mother's basement

Step-by-step explanation:

W + F = 36

W = 3F

3F + F = 36

F = 9

W = 27

S + F = 60

S + 9 = 60

S = 51

Can somebody help me as soon as possible !!

Answers

Answer:

C

Step-by-step explanation:

Hope it helps

The correct answer is B because you’d multiply the exponents

Sarina rounded a number to the nearest whole number and got 7.
which number could be the number Sarina rounded to the nearest whole number?

Answers

Sarina round 49 to get the answer 7

Can you please answer this question?
R = E / I solve for I

Answers

I = E/R

Step-by-step explanation:

r = E/I

IF the bottom number of a fraction is multiplied the it's whole number version, the bottom of the fraction is gone and the letter moves to the other side

I*r = E/I * I

IR = E

divide both sides by R to get I by itself

IR/R = E/R

I = E/R

if a=2,b=1 and c=1 than evalute ab+bc​

Answers

Answer:

3

Step-by-step explanation:

2x1+1x1

Answer:3

Step-by-step explanation:

(2)(1)+(1)(1)

2+1

=3

5 is to 1 as 0.5 is to
A. 1
B. 0.1
C. 0.01
D. 5
E. 0.5
F. 0.15

Answers

Answer: 0.1

The relationship from 5 to 1 is divided by 5. So, using that, 0.5 divided by 5 is 0.1.

:)

0.1 is the answer. Since 0.1 is 1/5 of 0.5

For which of the following equations is x = -4 a solution?

Answers

you need to attach a picture or something

Fill in the blanks please!!

Answers

Answer:

6,I can't help with the second one I wasn't good with that parallel lines

Step-by-step explanation:

Y2-Y1. So 3-9. 6

--------- - - -- = - - =6

X2-X1. 1-2. 1

the sum of 3 fifteens and 4 twos​

Answers

Answer:

52

Step-by-step explanation:

15 x 3 = 45

2 x 4 = 8

45 + 8 =52

Answer:

The answer is 53

Step-by-step explanation:

Its 53 because 3 fifteens is equal to 45 and 4 two's is equal to 8 so you just have to add 45+8=53

Given that f(x)= x^2+4, evaluate f(-2)

Answers

Answer:

f=-x^2/2-2

Step-by-step explanation:

yE2 ÷(3Z)= _______

if y=12, and Z=8

Answers

Answer:

45

Step-by-step explanation:

What is the application of inverse matrix?

Answers

Answer:

The inverse matrix is used to solve the system of linear equations. It also tells us the consistent or inconsistent behaviour of the solution of equations.

Step-by-step explanation:

In real life,

Whereas in programming which is taught at the university, matrices and inverse matrices are used for coding and encrypting messages. Matrices are also used in representing the real world data's like the population of people, infant mortality rate, etc. They are best representation methods for plotting surveys.

convert 1040 weeks to months with solution

Answers

Answer:

1040 x 0.229984 = 239.18336

months = 239

solve for x and y in the following equation.
2x - 3y = 9.......(I)
2x + y = 13.......(ii)

x + 7y = 10.......(I)
3x - 2y = 7.......(ii)

5x + y = 10.......(I)
7x - 3y = 14......(ii)​

Answers

Answer:

just rearrange the equation. I did the first one. Do the same for the rest.

2x - 3y = 9

-3y = -2x + 9

y = -2/-3x + 9/-3

y = 2/3x - 3

Step-by-step explanation:

Check all solutions to the equation. If there are no solutions, check "None."
1x1 = 3



Someone please help!!

Answers

Answer:

B and E

Step-by-step explanation:

The diagram shows rays of light from a point source, P, that reach a detector, D, along two paths. One path is a straight line, while the other is bent by reflection off a mirror. What is the value of b, correct to one decimal place? Assume that all the points in the diagram lie in the same plane.

Answers

This can solved using the cosine law which is:

c² = a² + b² - 2ab cos θ

Using the values given from the problem

6² = b² + b² - 2bb cos 112.62

And solving for b

36 = 2b² - 2b² cos 112.62

b = 3.6

The answer is the 3rd option.

Answer:

b = 3.6

Step-by-step explanation:

There are tulips, daisies, and daffodils growing in a garden. There are 2 times as
many daisies as tulips and 3 times as many daffodils as tulips. If there are 12
daisies, how many total flowers are in the garden?

Answers

54 flowers in the garden.

if there is 2 times as many daisies as tulips it would be 6 tulips

3 x daffodils as tulips which would be 3 x 12 = 36

so 36+6= 42

42 + 12 = 54

Multiply. Enter the product in simplest form.


7
9
×
4
7
=

Answers

Four ninths if it was supposed to be in fraction form

Round 159,095 to the tenths place

Answers

The number wouldn’t change because the “tenths” place is behind the decimal

Answer:

159,100

Step-by-step explanation:

#dkdjdjdjdidididi )llllllllllllllll

Sowy about all my questions b-b-but please help with another one?

Answers

Answer:

A

Step-by-step explanation:

count both sides divide by missing pieices

Using distributive property, factor out the GCF and rewrite 54 + 90​

Answers

Answer:

144

Step-by-step explanation:

54+90=144

144-90=54

90+54=144

144-54=90

what is 512 grams in pounds​

Answers

Answer:

1.12877

Step-by-step explanation:

You could also round it to the nearest tenth and just say 1.1 pounds

Answer:

1.12877 pounds

Step-by-step explanation:

For an approximate result, divide the mass value by 454.

1 gram = 0.00220462 pounds

Find a point E on CD such that the ratio of CE to CD is [tex]\frac{3}{8}[/tex].

Answers

Answer:

Sorry if it’s wrong. But I think the answer is: -3

Step-by-step explanation:

Formula:

E= x1 + a/b (x2 -x1)

E=-9 + 3/8(7+9)

E= -9 + 3/8(16)

E= -9 + 6

E= -3

The location of point E will be at negative  3. Then the correct option is C.

What is the section of the line?

Let A (x₁, y₁) and B (x₂, y₂) be a line segment. Then the point P (x, y) divides the line segment in the ratio of m:n. Then we have

x = (mx₂ + nx₁) / (m + n)

y = (my₂ + ny₁) / (m + n)

The information is given below.

CE / CD = 3 / 8

CE / ED = 3 / 5 = m / n

Then the location of the point E will be

x = [3 × (7) + 5 × (-9)] / (3 + 5)

x = (21 - 45) / 8

x = - 24 / 8

x = -3

Thus, the location of point E will be at negative  3. Then the correct option is C.

More about the section of the line link is given below.

https://brainly.com/question/6582647

salaries of nurses in southern california are normally distributed with a mean of $6250 and a standard deviation of $250. what is the probability the mean salary of 25 randomly selected nurses is below $6150 or is above $6350 a month

Answers

Step-by-step explanation:

z-score of X = 6150

[tex] \frac{6150 - 6250}{250} = - 0.4 \\[/tex]

z-score of X = 6350

[tex] \frac{6350 - 6250}{250} = - 0.4[/tex]

P(X<6150) + P(X>6350)

=P(z<-0.4) + P(z>-0.4)

=0.3446+0.3446

=0.6892

solve pls brainliest

Answers

Answer:

1.833, 3.3052, 3.35, 3.5

Step-by-step explanation:

Hope this helps! :)

A survey was given to 321 people asking whether people like dogs and/or cats.
136 said they like dogs
187 said they like cats
41 said they don't like cats or dogs.
How many said they liked both cats and dogs?
232
people liked both cats and dogs.
Submit Question

Answers

Answer:

o lawd somebody get Steve Harvey

Step-by-step explanation:

Isaac wants to play miniature golf. Go Golf charges $2.50 for ball and club rental and $4.25 per game. Golf Games charges $3.25 for ball and club rental and $8.50 for two games. For how many games would the cost be the same? Write and solve an equation to determine the number of games for which the cost would be the same.​

Answers

The cost would be the same for 47 Go golf and 54 golf games.

What is the Multiplication operation?

In mathematics, Multiplication operations perform Multiplying values on either side of the operator.

Given data as:

Charges for Go Golf -

Renting a ball and a club costs $2.50.

$4.25 for one game and

Charges for Golf Games -

3.25 for the rental of a ball and a club

$8.50 for two games

We have to determine the number of games would the cost be the same.

Total charges of Go golf per game = $2.50 + $4.25 = $6.75

Total charges of Golf game for 2 games = $3.25 + $8.50  = $11.75

For per game = $11.75 / 2 = $5.875

Let the game would be x for  Go golf and

And let game would be y for the golf game

As per the given condition,

6.75 x = 5.875y

27/4 x = 47/8 y

Apply cross multiplication operation,

54x = 47y

x/y = 47 / 54

x = 47

So y = 54.

Hence, the cost would be the same for 47 Go golf and 54 golf games.

Learn more about Multiplication operations here:

brainly.com/question/25834626

#SPJ2

The cost would be the same for 47 games at Go Golf and 54 games at Golf Games.

Total charges of Go golf per game = $2.50 + $4.25 = $6.75

Total charges of Golf game for 2 games = $3.25 + $8.50  = $11.75

Cost per game at Golf Games

= Total charges for 2 games / 2

= $11.75 / 2

= $5.875

Let the number of games be x for Go Golf and y for Golf Games.

As per the given condition,

6.75x = 5.875y

To find the relation between x and y, cross-multiplication can be used:

27/4 x = 47/8 y

54x = 47y

x/y = 47/54

Comparing the value gives

x = 47 and y = 54.

Hence, the cost would be the same for 47 games at Go Golf and 54 games at Golf Games.

Learn more about Ratio here:

https://brainly.com/question/13419413

#SPJ3

1.(154)10=(?)2
helpme! to solve it plz.​

Answers

Answer:

I think its (10000110)2

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