The degree of the polynomial function f(x) is 4.

The roots of the equation f(x)=0 are −2, −1, 1 and 3.

Which graph could be the graph of f(x)?

The Degree Of The Polynomial Function F(x) Is 4.The Roots Of The Equation F(x)=0 Are 2, 1, 1 And 3.Which

Answers

Answer 1

Answer:

Option A

Step-by-step explanation:

Degree of the polynomial function = 4

That means highest degree term of the given polynomial has power = 4

If the roots of a quadratic polynomial are a, b, c, d then the polynomial function will be,

f(x) = (x - a)(x - b)(x - c)(x - d)

It's given in the question that roots are x = -2, -1, 1 and 3

Therefore, polynomial function will be,

f(x) = (x + 2)(x + 1)(x - 1)(x - 3)

From the given options, graph A shows that the graph intersects the x-axis at x = -2, -1, 1 and 3

Therefore, Option A will be the answer.


Related Questions

PLEASEE HELPPP! IT DUE TONIGHT!!!

Answers

Answer:

Step-by-step explanation:

Answer:

11 +5x=y

y-11-5x=0

Step-by-step explanation:

i need help, i don’t understand

Answers

Answer:

a = 14

Step-by-step explanation:

The consecutive angles in a parallelogram are supplementary, sum to 180°

a² - 10a + 7a + 26 = 180

a² - 3a + 26 = 180 ( subtract 180 from both sides )

a² - 3a - 154 = 0 ← in standard form

(a - 14)(a + 11) = 0 ← in factored form

Equate each factor to zero and solve for a

a - 14 = 0 ⇒ a = 14

a + 11 = 0 ⇒ a = - 11

Since a > 0 , then a = 14

Susan has a birdfeeder in the shape of a rectangular prism. It is filled with bird seed to a height of 58 feet as shown. How many cubic feet of bird seed does Susan need to fill the rest of the birdfeeder?

Answers

Answer:

Susan needs 1 23/64 cubic feet of bird seed to fill the rest of the birdfeeder.

Step-by-step explanation:

I did the math.

0.11718 cubic feet of bird seed Susan need to fill the rest of the birdfeeder.

What is Fraction?

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.

We have,

It is filled with bird seed to a height of 5/8 feet as shown.

So, Susan need to fill the rest of the birdfeeder

= 5/8 x 1/2 x 3/8

= 15 / 128

= 0.11718 feet

Learn more about Fraction here:

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Find the area of each circle. Use 3.14 for the value of pi. Round your answer to the nearest tenth. Do NOT include units in your answer (ie. ft, in, km, etc.) (FR)

Answers

Answer:

12.6

Step-by-step explanation:

The equation for a circle's area is [tex]A=\pi r^2[/tex].

We can use this equation to end up with A=(3.14)4

And 3.14 times 4 is 12.56.

Then we have to round to the nearest tenth.

Therefore your answer is 12.6

Hope this helped! :)

What is the margin of error for a sample statistic for a population with a standard deviation of 6.75?

Answers

Answer:

Step-by-Margin of Error  = 1.96 x  7.75 = 15.19

step explanation:

i) Margin of Error of a population with a standard deviation of 7.75?

ii) Let us assume a two tailed test with a 95% confidence interval

iii)  

iv) therefore Margin of Error  = 1.96  7.75 = 15.19

Answer: 13.5

Step-by-step explanation:

Plz help with this problem

Answers

Answer:

33 % is the answer.

Step-by-step explanation:

The value provided is 10 and possible out comes of getting a result is 3 as there are 3 grades namely (A,B and C) are mentioned. When converted to 100s, 100/33 gives 33.33% as the answer, when rounding off gives 33.

4. Vince is buying apples for his horse. Which of these options has the
lowest unit cost?
A. 5 apples for $2.50
c. 12 apples for $7.20
B. 8 apples for $4.40
D. 1 apple for $0.52
(Z.RP.A.1
usina
Alions of as How

Answers

Answer:

option A. 5 apples for $2.50

Step-by-step explanation:

You must find the price per apple for each option by dividing the cost in cents by the number of apples. 250 cents divided by 5 apples gives you 50 cents per apple, while option c is 55 cents per apple, option b is 60 cents per apple, and option d is 52 cents per apple.

15% of a number is 30. What is the number?
A)4.5
B)20
C)45
D)200​

Answers

15% of 200 is 30

so the answer would be D
The answer is D, 200.

Since the total percentage is 100, you would divide that by 15.

100/15=6.666...7

Then, you would multiply that by 30

6.6666...7*30=200

Find the standard deviation, σ, for the binomial distribution which has the stated values of n and p. Round your answer to the nearest hundredth.
n = 2165; p = 0.63

A. σ = 22.46
B. σ = 25.73
C. σ = 20.05
D. σ = 26.58

Answers

C is the answer to your question

URGENT
Which of the following statements is true? Select all that apply.

Answers

Answer:

C is true also

Step-by-step explanation:

NEED ANSWER ASAP GIVING LOTS OF BRAINLIST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

1. X2 +3x+5

2. 5x-1+

3. x2+ 3x-5

Answer:

this is your answer of first one..

Would someone be able to answer this before 3 PM central?

Answers

Answer:

yes

Step-by-step explanation:

You've decided you want a plant for your room. At the gardening store, there are 444 different kinds of plants (tulip, fern, cactus, and ficus) and 444 different kinds of pots to hold the plants (clay pot, plastic pot, metal pot, and wood pot).
If you randomly pick the plant and the pot, what is the probability that you won't get a clay pot or a cactus?

Answers

Answer:

there is a 1/4 chance you will not get a clay pot and a 1/4 chance you will not get a cactus

Step-by-step explanation:

Answer:

9/16 from khan academy

Step-by-step explanation:

7. Alex has 4 red marbles 3 blue marbles, 2 yellow marbles, 6 purple marbles, and one white marble. Alex picked a marble out of the bag, recorded the color in the chart (to the right), then replaced the marble. He repeated this experiment fifteen times. COLORS FREQUENCY
What is Alex's experimental probability of Red getting a blue?

b. What is Alex's theoretical probability of getting a blue?​

Answers

Answer:

B

Step-by-step explanation:

i’ll give brainliest

Answers

Answer:

-4/5y - 4/5x

Step-by-step explanation:

The fraction ( -4/5 ) will multiply each component in the bracket. That is the (y) and the (x)

So -4/5 × y gives you -4/5y

and -4/5 × x gives you -4/5x

Therefore you have -4/5y - 4/5x

Equation practice with vertical angles solve for x

Answers

Answer:

x = -11

Step-by-step explanation:

6x+185 = 8x+207

substract 8 from both side and you will get

-2x = 22

and then divide by -2 and x will be equal to

x = -11

If Birr 2400 is invested at 6 simple interest per annum, then what is the amount after 4 years?

Answers

Answer:

R2976

Step-by-step explanation:

2400(1+0.06×4)

=R2976

Please help I am struggling so bad

Answers

9514 1404 393

Answer:

  3.14 units

Step-by-step explanation:

The formula for the length of an arc is ...

  s = rθ

where r is the radius of the circle, and θ is the central angle in radians.

__

The relationship between degrees and radians is ...

  180° = π radians

If we divide this equation by 3, we see ...

  60° = π/3 radians

__

The radius is given as 3 units, so the arc length is ...

  s = (3 units)(π/3) = π units

The arc length is 3.14 units.

please explain how to do this

Answers

When it says standard form they mean from biggest to smallest.

yuurrrr i need help yo plz help

Answers

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Answer: CD = 90

Explanation:

4b-30=3b

b = 30

3b = CD

3(30) = 90

CD = 90

I hope this helped!

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- Zack Slocum

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Answer:

90

Step-by-step explanation:

it is a square and all the edges have same len;

4b-30 = 3b , b = 30

.

3b = 90

log (z ^ 3)/(x ^ 4 * y ^ 5) with steps please

Answers

Answer:

Step-by-step explanation:

HOW DO YOU CONVERT SURFACE AREA TO VOLUME!
HELP!!!!
WILL MARK BRAINLIST!!

Answers

Answer:

Formulas for a rectangular prism:

Volume of Rectangular Prism: V = lwh.

Surface Area of Rectangular Prism: S = 2(lw + lh + wh)

Space Diagonal of Rectangular Prism: (similar to the distance between 2 points) d = √(l2 + w2 + h2)

Step-by-step explanation:

Hope it helps :))))

Geoffrey's babysitter stayed from 5:15 P.M. until 11:35 P.M. For how much time
does the babysitter need to be paid?
hours and
minutes

Answers

Answer:

6 Hours and 20 minutes

Step-by-step explanation:

Answer:

6hrs and 20 mins

Step-by-step explanation:

A cylinder has a Height 50 and a diameter 25 what is it’s volume?

Answers

Answer:

Step-by-step explanation:

V≈24543.69

Answer:

1250

Step-by-step explanation:

50×25=1250 hope it helps

Find A, B and ? Please show steps as well

Answers

35+55+a=180
90+x=180
-90. -90
A= 90

The housing sales measured in millions of dollars, M, of a rural city, can be modeled by the function M(t) = -35cos(0.524t) + 55, where t represents the number of years since 2020. What characteristics of M(t) are true?
I. The first time the housing sales will reach their maximum will be in 2030.
II. Housing sales are expected to increase from 2020 to 2021.
III. The range is (20,90).

Answers

Answer:

It is going to be the first one.

Step-by-step explanation:

The first time the housing sales will reach their maximum will be in 2030.

Hope it helps! :)

Hope you also have a great rest of your day!


The diagram shows the front face of a barn,
The width of the barn is 12 m.
The height of the barn is 8m.
The sides of the barn are both of height 5m.
Work out the area of the front face of the barn.

Answers

Answer:

the front face of the barn: 78m^2

Step-by-step explanation:

look at the photo

The area of a 2D form is the amount of space within its perimeter. The area of the front face of the barn is 78 m².

What is an area?

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

The diagram of the barn can be made as shown below. Therefore, the area of the front face of the barn is,

Area of the barn front = Area of the triangle + Area of the rectangle

                                     = (5 × 12) + (0.5 × 3 × 12)

                                     = 60 m² + 18 m²

                                     = 78 m²

Hence, the area of the front face of the barn is 78 m².

Learn more about the Area:

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who wanna help me with my school work

Answers

21x22=462 hope this helps

Answer:

364 [tex]mi^{2}[/tex]

Step-by-step explanation:

Lines with the same slope are

Answers

Answer:

Parallel if they have the DIFFERENT y-intercept

If they don’t have the different y-intercpet, its just coincide

Find the distance between (-1,-2) and (8,9)

Answers

Answer:

[tex]\sqrt{202}[/tex] units or 14.2 units (rounded to the nearest tenth)

Step-by-step explanation:

To find the distance between a pair of two points, use the distance formula  [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]. Substitute the x and y values of (-1,-2) and (8,9) into the formula and simplify:

[tex]d = \sqrt{(-1-8)^2+(-2-9)^2} \\d = \sqrt{(-9)^2+(-11)^2} \\d = \sqrt{81+121} \\d= \sqrt{202}[/tex]  

So, as an exact answer, the distance is [tex]\sqrt{202}[/tex] units.

(To find the decimal approximate of that answer, enter it into a calculator. This would make the decimal approximate 14.2 units, when rounded to the nearest tenth.)  

Answer:

14.2

Step-by-step explanation:

All you need to do is plug the coordinates into the distance formula.

√(x2 - x1)² + (y2 - y1)²

√[8 - (-1)]² + [9 - (-2)]²

√(9)² + (11)²

√81 + 121

√202

= 14.2

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