The function f(x) is a quartic function and the zeros of f(x) are -4,-3,2 and 5. Assume the leading coefficient of f(x) is 1. Write the equation of the quartic polynomial in standard form

The Function F(x) Is A Quartic Function And The Zeros Of F(x) Are -4,-3,2 And 5. Assume The Leading Coefficient

Answers

Answer 1
Answer:
f(x) = x⁴-6x³-13x²+66x+72
Step-by-step explanation:
Factors are: (x+3)(x+1)(x-4)(x-6)
[(x+3)(x+1)][(x-4)(x-6)]
[x²+3x+x+3][x²-4x-6x+24]
(x²+4x+3)(x²-10x+24)
x⁴+4x³+3x²-10x³-40x²-30x+24x²+96x+72
f(x) = x⁴-6x³-13x²+66x+72
Answer 2

The equation of the quartic polynomial in standard form is,

⇒ f (x) = x⁴ - 27x² - 14x + 120

What is Quadratic equation?

An algebraic equation with the second degree of the variable is called an Quadratic equation.

We have to given that;'

The function f(x) is a quartic function and the zeros of f(x) are -4,-3,2 and 5.

And, the leading coefficient of f(x) is 1.

Hence, We get;

The equation of the quartic polynomial in standard form is,

⇒ f (x) = 1 (x - (- 4)) (x - (- 3)) (x - 2) (x - 5)

⇒ f (x) = (x + 4) (x + 3) (x - 2) (x - 5)

⇒ f (x) = (x² + 7x + 12) (x² - 7x + 10)

⇒ f (x) = x⁴ - 7x³ + 10x² + 7x³ - 49x² + 70x + 12x² - 84x + 120

⇒ f (x) = x⁴ - 27x² - 14x + 120

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Related Questions

¿Cual es el diámetro del círculo que se puede trazar con un compás cuyo brazos miden 10 cm y forman un ángulo 34?

Answers

Answer:

Sorry that it is in english.

Step-by-step explanation:

The arms of the compass mesure the radius.

[tex]r=10\\2r=diamater (d)\\2*10=d\\20=d[/tex]

Please help me giving brainliest

Answers

Answer:

42cm^2

3x2=6x7=42

Step-by-step explanation:

I need help with this

Answers

1/3(1/2)8(6)(10)=80

Your welcome

HEEEEEEEEEEEEEELLLLLLLLLLLLLLLLLLPPPPPPPPPPPPPPPPPP

Answers

9514 1404 393

Answer:

cylinder and cone256π ≈ 804.25 m³

Step-by-step explanation:

The figure is a composite of a cylinder added to a cone.

The height of the conical portion is (20 m -14 m) = 6 m. We know that the volume of a cone is 1/3 the volume of a cylinder with the same dimensions. Another way to think of that is the volume of a cone is the same as that of a cylinder of 1/3 the height.

So, this figure has a volume equivalent to that of a 14 m tall cylinder topped by a (6 m)/3 = 2 m tall cylinder. Effectively, we're seeking the volume of a cylinder of radius 4 m and height 16 m.

  V = πr²h

  V = π(4 m)²(16 m) = 256π m³ ≈ 804.248 m³

The volume of the "silo" is 256π ≈ 804.25 m³.

_____

If you use 3.14 for π, you will get 803.84 m³.

Alex and Tim are going to race. Tim gives Alex a 50 meter head start. Alex
walks 2 meters per second. Tim walks 4 meters per second. When will the
two tie?

Answers

Tim’s total distance must be 4x, and Alex’ must be 2x + 50

2x + 50 = 4x

50 = 2x

x = 25

25 seconds!

Could you mark me as the brainliest, please? ;)

Answer:

After 3 min

Step-by-step explanation:

So becuase Tim is walking and Tim gave Alex a 50 meter head start so after 3 min they will tie each other.

Mark the relations that ARE functions
{(2,5) (-3, 4) (0,1)}
{(1,1) (2,1) (0, 1) (-8, 1)}
{(3, -2) (9, 1) (3, 5) (9, 3)}
{( 2,5) (0, 3) (-1, 1) (7, 13)}

Answers

Answer:

first

second

fourth

Step-by-step explanation:

one domain must only one range

The speed s in m/s of an athlete can be modeled by the
function
s = 9.8 – 9.8e-0.88t
where t is the time (in seconds) after the
athlete starts running. Graph this model and use the graph to
estimate the speed of the athlete 2 seconds after his launch.
Round your answer to the nearest whole m/s.
speed m/s

Answers

Answer:

Step-by-step explanation: The equation is s = 9.8 – 9.8e-0.88t and we need to find the speed if t or time = 2 so to solve this equation algebraically you would;

[tex]s = 9.8-9.8e-0.88(2)[/tex]

[tex]s = 9.8-9.8e-1.76[/tex]

[tex]s = 8.04-9.8e[/tex]

and after graphing it you would get

[tex]-18.5991619189[/tex]

which after rounding and using absolute value would be

[tex]s=18.6[/tex]

Ms McNaughton solved the equation below:
8x = 64
8x − 8 = 64 − 8
x = 56
Did she solve the equation correctly or incorrectly? (1 points) If the solution is correct, explain the steps she took to find the solution. If the solution is incorrect, show the correct steps to solve the equation. (4 points)

Answers

Answer:

she solved it incorrectly

Step-by-step explanation:

8x=64

8x÷8=64÷8

x=8

Answer:

no she did not

8x=64

÷8 ÷8

x=8

Step-by-step explanation:

simple

A population of values has a normal distribution with u = 69.4 and o = 18.9. You intend to draw a random
sample of size n = 185. Please show your answers as numbers accurate to 4 decimal places.
Find the probability that a single randomly selected value is between 65.9 and 68.8.
P(65.9 < X < 68.8) =
Find the probability that a sample of size n = 185 is randomly selected with a mean between 65.9 and 68.8.
P(65.9 < < 68.8) =

Answers

Answer:

234

Step-by-step explanation:

Solve for x.
3x - 4 = 2x - 10
O x = 6
OX= -6
OX= 14
O x=-14
Please help
Will give you brainly

Answers

Answer:

x = -6

Step-by-step explanation:

We have the equation 3x - 4 = 2x - 10 and are asked to find "x".

To solve , we need to get "x" alone entirely.

3x - 4 = 2x - 10

Subtract 2x from both sides :

x - 4 = -10

Add 4 to both sides to get our answer :

x = -6

Answer:

the answer is equal to-6

Find the equation of the line. Use exact numbers. y= ( )x + ( )

Answers

Answer:

y=-2x+5

Step-by-step explanation:

Use the equation y=mx+b

We can find the b(y-intercept) by looking at the graph

The graph crosses the y-axis at (0,5)

We can look at the slope at the graph. We can see its down 4 over 2 so the slope is -2.

Plug that into the equation y=mx+b

y=-2x+5

Pls Help! Which of the following equations represents a line that is parallel to the line
y = - x – 16.
A.) 10y + 20 = -5x
B.) -4x + 2y = 16
C.) y + 2x = 8
D.) 3y = 4x + 6
Please do not put a link or i will report you!

Answers

Answer:

B is the correct answer

Step-by-step explanation:

-4x+ 2 y= 16

Again I don’t know this . Plz help me

Answers

Answer:

y-2=0(x-3)

Step-by-step explanation:

Which object is located at the point (4.3)

A. Star

B. Circle

C. Triangle

D. Rectangle

Which one is it help me pls

Answers

the answer would be star
Answer: star


epic moment

Mercedes is helmet diving at a location of -20 feet. The breathing tube attached to her helmet reaches an oxygen tank at a location of 12 feet.

Which of the following expressions represents
the length, in feet, of the breathing tube attached
to Mercedes' helmet?

(A) |--20 – 12

(B) |--20 + 12

(C) 20 – 12

(D) -20 + 12

Answers

Answer: B

Step-by-step explanation:

CAN SOMEONE PLZ ANSWER THIS ITS DUE AT 11:59 APRIL 11 2021 AND ILL MARK U BRAINLIST

Answers

Answer:

answer is c

Step-by-step explanation:

Answer:

c. 586.2

Step-by-step explanation:

add all areas together:

127.2 for semi circle on right

22x18=396 for middle square

7*9=36 for 2 triangles on left

Find the length of VW.

Answers

Answer:

1.8

Step-by-step explanation:

it is on the diagram

1.8 the because of the length

Which expression is equivalent to root 36/25

Answers

Answer:

6/5

Step-by-step explanation:

√36/25 =6/5

because root 36 is 6 and root 25 is 5.

The equivalent expression is 6/5

A triangle has side lengths of 12 centimeters, 12 centimeters, and 18 centimeters. What kind of triangle is it?​

Answers

Answer:

isosceles triangle

Step-by-step explanation:

2 sides the same

A bag contains 9 orange marbles and 36 green marbles. If a representative sample contains 2
orange marbles, then how many green marbles would you expect it to contain? Explain.
Because the ratio of orange marbles to green marbles is in the population, the expected number
of green marbles is times the number of orange marbles in the representative sample. There
should be green marbles.

Answers

Answer:

U can divide or multiply

Step-by-step explanation:

Find the missing angle and round to the nearest tenth! Thank you :)

Answers

what they said before me !

Please help i'll give brainliest

For a television commercial 20 cars will be parked bumper to bumper to form a line. Which of the following would be the approximate length of the line of cars?
1/2 mile
1/8 mile
800 feet
300 feet

Answers

Answer:

300'

Step-by-step explanation:

Answer:

1/8 mile

Step-by-step explanation:

Because if you do the math the avarge car is 4.7 feet multiply that by 20 and there is your answer

I need help with this trigonometry question.

“Solve the right triangle.
“Round your answers to the nearest tenth.”

Answers

I don’t remember how to do a and b but A is 39

What is 1/4 divided by 4

Answers

It is 0.067 it’s a decimal in this equation

The table shows how many children and adults prefer each of two different
fruits. How would you find the joint relative frequency of being a child who
prefers watermelon?
Watermelon
Grapes
Total
Child
132
85
217
Adult
111
117
228
Total
243
202
445
A. Divide 132 by 445.
B. Divide 132 by 243.
C. Divide 243 by 445.
D. Divide 132 by 217

Answers

Answer:

B

Step-by-step explanation:

i did the math

The joint relative frequency of being a child who prefers watermelon is 132/445 option (A) Divide 132 by 445 is correct.

What is a conditional relative frequency?

It is defined as the frequency that can be evaluated by the two-way frequency table. Usually, we can obtain this frequency by dividing the frequency that is not in the frequency cell by the total frequency.

To find the joint relative frequency of being a child who prefers watermelon:

Total number of children who prefers watermelon = 132

Total number of children and adults = 445

joint relative frequency of being a child who prefers watermelon:

= 132/445

Thus, the joint relative frequency of being a child who prefers watermelon is 132/445 option (A) Divide 132 by 445 is correct.

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what is more 2 liters or 2 deciliters​

Answers

Answer:

2 liters.

Step-by-step explanation:

These measurement units are part of the metric system. Unlike the U.S. customary system of measurement, the metric system is based on 10s. For example, a liter is 10 times larger than a deciliter, and a centigram is 10 times larger than a milligram.

Hope this helps!!<333

Answer:

a liter is 10 times larger than a deciliter, so yes, it is more.

Attempt 1 of 2
<< <
1
2
Find the vertices for the ellipse with the given equation.
x2 + 9y2 + 2x + 18y + 1 = 0

Answers

Answer:

is this quadratic equation

6x = 72

one step equation​

Answers

Answer:

Hi! The answer to your question is x = 12

Step-by-step explanation:

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☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

Find the limit when X approaches zero
2xsinx/1-cosx

Answers

Answer:

4

Step-by-step explanation:

[tex] Lim_{x \to 0}\frac{2 x\sin x}{1-\cos x} [/tex]

[tex] =Lim_{x \to 0}\frac{2 x\sin x}{1-\cos x}\times \frac{1+\cos x}{1+\cos x} [/tex]

[tex] =Lim_{x \to 0}\frac{2 x\sin x(1+\cos x) }{1^2 -\cos^2 x} [/tex]

[tex] =Lim_{x \to 0}\frac{2 x\sin x(1+\cos x) }{1 -\cos^2 x} [/tex]

[tex] =Lim_{x \to 0}\frac{2 x\sin x(1+\cos x) }{sin^2 x} [/tex]

[tex] =Lim_{x \to 0}\frac{2x(1+\cos x) }{sin x} [/tex]

[tex] =Lim_{x \to 0} 2(1+\cos x) \times \frac{1}{Lim_{x \to 0}\frac{sin x}{x}} [/tex]

[tex] =2(1+\cos 0) \times 1 [/tex]

[tex] = 2(1+1) [/tex]

[tex] = 2(2) [/tex]

[tex] \therefore Lim_{x \to 0}\frac{2 x\sin x}{1-\cos x}= 4 [/tex]

Suppose you draw a card from a wall shuffled deck of 52 cards what is the probability of drawing a 4 or a Jack

Answers

the odds of drawing a jack from a deck of 54 is 1 in 13.5 or 4/54
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