A polynomial function has zeros at 5/2 (multiplicity 2), 3 (multiplicity 1), and 0 (multiplicity 4). Write a function in standard form that could represent this function

Answers

Answer 1

Answer:

-75 x^4 + 85 x^5 - 32 x^6 + 4 x^7

Step-by-step explanation:

[tex](x-5/2)^{2}(x-3)(x-0)^4 =0\\(2x-5)^{2}(x-3)(x)^4 =0[/tex]

Expand and get

-75 x^4 + 85 x^5 - 32 x^6 + 4 x^7

Answer 2

The standard form will be  [tex]X^4(x^4-7x^3+12x^2-\dfrac{35x}{2} +\dfrac{25x^2}{4} +\dfrac{25}{4} =0[/tex]

What will be the standard form of the given expression?

The given expression is

[tex](x-\dfrac{5}{2})^2(x-1)^2(x-0)^4=0[/tex]

[tex](x^2-5x+\frac{25}{4} )(x^2-2x+1)(x^4)=0[/tex]

[tex](x^4-2x^3+x^2-5x^3+10x^2-5x+\dfrac{25x^2}{4} -\dfrac{50}{4} x+\dfrac{25}{4} ) x^4=0[/tex]

[tex]X^4(x^4-7x^3+12x^2-\dfrac{35x}{2} +\dfrac{25x^2}{4} +\dfrac{25}{4} =0[/tex]

Thus the standard form will be  

[tex]X^4(x^4-7x^3+12x^2-\dfrac{35x}{2} +\dfrac{25x^2}{4} +\dfrac{25}{4} =0[/tex]

To know more about Polynomials follow

https://brainly.com/question/15702527


Related Questions

Helpppppp please i need help on this question

Answers

Step-by-step explanation:

K=12 if you want explanation i will

Explanation:
k + 6 = 18
k = 18 - 6
k = 12

What is the perimeter of the triangle?

Answers

Answer: 3y + 5 cm

Step-by-step explanation: The perimeter of a triangle

is just the distance around the outside of the figure.

So just add up all the sides.

So we have y + y + y + 5 and we get 3y + 5.

What is the initial value of the equation shown? (1 point) y = −7x − 6 −13 −7 −6 −1

Answers

Answer:

-6

Step-by-step explanation:

The equation is y = -7x - 6.

The initial value is found when x = 0.

y = -7(0) - 6

y = 0 - 6

y = -6

s + 10.7 = 7.2



s = ?
how do i solve

Answers

10.7 - 7.2 = 3.5
So -3.5 + 10.7 = 7.2

6t/9-22;t=60
please help me

Answers

Answer:

if t=60, then 6(60)/9-23. (360-198)/9

=18

I need some gosh darn help because I will fail my math test. Suppose two angles in a coordinate plane, one measuring 80 and the other measuring 160, were both rotated 180 about the origin and then translated 40 units down. which of these would be a measure of one of the resulting angles? Select 2 answers

Answers

Answer:

120 and 40

Step-by-step explanation:

Because when we subtract 80 and 40 is equal 40 or 160 and 40 is 120.

please what is the answer? i need the steps too please help me

Answers

Do not write this one actually I have just give you one example

Work out the size of angle x.

Answers

Answer:

First: 105

Second: 65

Third: 133

Fourth: 129

Fifth: 60

please help helppppppp

Answers

it a quadrilateral, square, and parallelogram.

Write the equation in standard form for the circle x^2 + y^2 + 16x + 28 = 0.

Answers

Answer:

( x + 8 ) ^2+ y^2= 36

Step-by-step explanation:

Pls help this is due today! Find the value of x, then the value of each angle:

Answers

The top angle is 56 degrees

The bottom angle is 34 degrees

X=29

Answer:

x = 29

angles are 90 degrees, 56 degrees, and 34 degrees

Step-by-step explanation:

90 + (2X-2) + (X+5) = 180

3X + 93 = 180

3X = 87

X = 29

Find the area of this figure

Answers

52 is the answer to this question

Francine can ride 16 miles on her bicycle in 45 minutes. At this speed, how many minutes would it take Francine to ride 60 miles?

Answers

Answer:

2000 minutes on 16 miles

Answer:

168.75 minutes

Step-by-step explanation:

Francine's speed (the unit rate) is (16 miles) / (45 minutes), or 16/45 miles/min.

Recalling that distance = speed times time, we recognize that

time = distance / speed

which here is  

(60 miles) / (16/45) miles/min = 168.75 minutes, or 168 min 45 sec

C/2 - 3 + 6/d when c=14 d=3

Answers

Answer:

6

Step-by-step explanation:

14/2 - 3 + 6/3

Divide 14 by 2 to get 7.

7−3+6/3

Subtract 3 from 7 to get 4.

4+6/3

Divide 6 by 3 to get 2.

4+2

Add 4 and 2 to get 6.

6

simplify 5p - 3 p + p​

Answers

the answer is 3p

hope it helps!

Answer: 3p

Step-by-step explanation:

5 − 3 + =

3

The original cost is $25. The item has a discount of 20% off. What is the discount amount?

Answers

Answer:20 dollars.

not sure

Step-by-step explanation:

Algebra Unit 2Part 2 Test please show work

Answers

This it the test please do as fast as posible and show work. thank you and sorry

A survey found that 73% of people use streaming services, of those who stream, 28% report that they download
movies,
Find the probability that a randomly selected person uses streaming services and downloads movies,
0.20
0.28
0.38
2.61

Answers

Answer:

0.20

Step-by-step explanation:

Solve the system by substitution.
2x + 3y = 32
y = x + 9

Answers

Answer:

x=1 and y=10 (1,10)

Step-by-step explanation:

2+30=32

10=1+9

Need answers for 1 and 2. Please

Answers

Answer:soultion

Step-by-step explanation:      solution

39 inches is the right answer just did the test on edge

Answers

Yup 39 is the correct answer good job :-)

Answer:

thanks have a nice day can you please mark me brainliest im trying to rank up and i  need 2 more brainlys

Step-by-step explanation:

A meteorologist stated that 1 foot of snowfall would melt to make 2 inches of water. Based on this rule, how much water should result from 84 inches of snowfall ?

Answers

80 I guess is the answer

PLEASEEEE HELP THIS IS DUE TODAY!!!

Answers

Answer: $200

Step-by-step explanation:

On the X axis, it shows the kilograms. Since the problem asks for how much money she makes for 60 kg, go to the point on the X axis that represents 60 kg and then go up to the corresponding y or dollar value, which is 200.

All the prizes for the contest were won by Josh. Rewrite in an active voice.

Answers

Answer:

Josh won all the prizes for the contest

Step-by-step explanation:

PLEASE ANSWER THIS QUESTION
Show that 4x – 7 is equivalent to 4(x - 1) – 3 when x = 3.​

Answers

Answer:

4(3) - 7 = 4(3 - 1) - 3

12 - 7 = 4(2) - 3

5 = 8 - 3

= 5

They are equivalent because when they are both simplified they have the same answer 5

The overhead reach distances of adult females are normally distributed with a mean of 200 cm and a standard deviation of 8.3 cm. a. Find the probability that an individual distance is greater than 210.00 cm. b. Find the probability that the mean for 20 randomly selected distances is greater than 197.80 cm c. Why can the normal distribution be used in part​ (b), even though the sample size does not exceed​ 30?

Answers

Answer:

a) 0.1151 = 11.51% probability that an individual distance is greater than 210.00 cm.

b) 0.883 = 88.3% probability that the mean for 20 randomly selected distances is greater than 197.80 cm.

c) The distribution of the population is normal, which means that the sample size does not need to exceed 30.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

The overhead reach distances of adult females are normally distributed with a mean of 200 cm and a standard deviation of 8.3 cm.

This means that [tex]\mu = 200, \sigma = 8.3[/tex]

a. Find the probability that an individual distance is greater than 210.00 cm.

This is 1 subtracted by the pvalue of Z when X = 210. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{210 - 200}{8.3}[/tex]

[tex]Z = 1.2[/tex]

[tex]Z = 1.2[/tex] has a pvalue of 0.8849

1 - 0.8849 = 0.1151

0.1151 = 11.51% probability that an individual distance is greater than 210.00 cm.

b. Find the probability that the mean for 20 randomly selected distances is greater than 197.80 cm

Now [tex]n = 20, s = \frac{8.3}{\sqrt{20}} = 1.8559[/tex]

This probability is 1 subtracted by the pvalue of Z when X = 197.8. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{197.8 - 200}{1.8559}[/tex]

[tex]Z = -1.19[/tex]

[tex]Z = -1.19[/tex] has a pvalue of 0.117

1 - 0.117 = 0.883

0.883 = 88.3% probability that the mean for 20 randomly selected distances is greater than 197.80 cm.

c. Why can the normal distribution be used in part​ (b), even though the sample size does not exceed​ 30?

The distribution of the population is normal, which means that the sample size does not need to exceed 30.

Please help I don't get this

Answers

Answer:

18n+9

Step-by-step explanation:

9(2n+1)

multiply the 9 with the numbers in the parenthesis

18n+9

Which equation shown below would have a solution set to the system shown below?
x+ 2y = 4
3x - y = -1
1. 6x-2y = -1
2. 3x - y = 4
3. -2x + 3y = 5
4. 4x + y = -4​

Answers

2 it is sorry if this is wrong

A photographer has a print that is 3.5 inches wide and 2.5 inches tall. If the photographer enlarges the print so that it is 7 inches wide, how tall will it be?
5 inches
6 inches
8 inches
12 inches

Answers

b. if it is 7 inches wide it will be 6 inches tall

Answer:

5 inches

Step-by-step explanation:

Hope I helped

r+6<10 what’s the answer?

Answers

Answer:

r < 4

Step-by-step explanation:

r+6<10

r < 4

Other Questions
What is 8 x 10-2 in ordinary form? Is this correct?????? can someone please help me? 2 HCl (9)=H2(g) + Cl2 (9)K = [H][CI]/[HCI)UK = [H][CI]/2[HCI]K = 2[HC]/[H]CI.)K = [HCI)?/[H][1] can someone help me with this, please the sum of twice C and 10 All of the following statements are true when an individual is prone to catastrophic thinking except __________.A.imagining the worst and increasing anxietyB.habitually exaggerating negative outcomesC.preventing oneself from taking appropriate actionD.minimizing outcomes that may become serious Find the value of x. A. Tape diagram AB. Tape diagram BC. Both tape diagram A and BD. Neither tape diagram In BCD, the measure of D=90, the measure of B=31, and CD = 1.6 feet. Find the length of BC to the nearest tenth of a foot. The owner of a hair salon franchise in the city asked all of her stylists to report how many new clients they serviced within the last year. The list of new clients serviced is shown below.Number of New Clients Serviced over the Past Year: 59, 32, 37, 53, 10, 12, 57, 50, 48, 50, 61, 37, 35, 44, 49, 55, 59, 62, 43, 48, 59, 61, 64, 37, 18, 11, 44, 50, 57, 63, 47, 27The salon owner used this list to create a histogram. An item was sold for Rs 540 with a profit of 5% . What was its cost price? Which three major objects are built into the JavaScript language?This task contains the radio buttons and checkboxes for options. The shortcut keys to perform this task are A to H and alt+1 to alt+9.ADocument, Object, Model.BCanvas, Geolocation and Drag.CNone, JavaScript is object-based not object-oriented.DDocument, Navigator, Array. Select the correct answer.What is the approximate solution to this equation? Please please help me I have to finish and on question 2 HELP PLEASE I NEED THIS HOMEWORK DONE BY TONIGHT!! How old would this fossil be if only 1/128 of C-14 was detected in it? What values or ideas can we learn from the stories of St. Patricks Day? The ratio of one lengths of corresponding sides of two similar hexagons is 4:7. Find the ratios of their PERIMETERS. An equilateral triangle has a side length of 10 units. What is its area?