50 points if your answer is right

What are the zeros of the polynomial function? f(x)=x^4−4x^3−22x^2+4x+21

Anton [14]

Replace

f

(

x

)

f

(

x

)

with

y

.

y

=

2

x

3

−

4

x

2

−

22

x

+

44

y

=

2

x

3

-

4

x

2

-

22

x

+

44

To find the roots of the equation, replace

y

with

0

and solve.

0

=

2

x

3

−

4

x

2

−

22

x

+

44

0

=

2

x

3

-

4

x

2

-

22

x

+

44

Rewrite the equation as

2

x

3

−

4

x

2

−

22

x

+

44

=

0

2

x

3

-

4

x

2

-

22

x

+

44

=

0

.

2

x

3

−

4

x

2

−

22

x

+

44

=

0

2

x

3

-

4

x

2

-

22

x

+

44

=

0

Factor the left side of the equation.

Tap for more steps...

2

(

x

−

2

)

(

x

2

−

11

)

=

0

2

(

x

-

2

)

(

x

2

-

11

)

=

0

Divide both sides of the equation by

2

. Dividing

0

by any non-zero number is

0

.

(

x

−

2

)

(

x

2

−

11

)

=

0

(

x

-

2

)

(

x

2

-

11

)

=

0

Set

x

−

2

x

-

2

equal to

0

and solve for

x

.

Tap for more steps...

x

=

2

x

=

2

Set

x

2

−

11

x

2

-

11

equal to

0

and solve for

x

.

Tap for more steps...

x

=

√

11

,

−

√

11

x

=

11

,

-

11

The solution is the result of

x

−

2

=

0

x

-

2

=

0

and

x

2

−

11

=

0

x

2

-

11

=

0

.

x

=

2

,

√

11

,

−

√

11

6 0

3 years ago

Corrine wrote temperatures in degrees Celsius and the equivalent temperatures in degrees Fahrenheit. Equivalent Temperatures Cel

wolverine [178]

Answer:

F = 1.8C + 32

Step-by-step explanation:

Let the temperature in Celsius (C) and temperature in Fahrenheit (F) are related by the direct variation equation

F = aC + b ........... (1)

Taking two ordered pairs (-10, 14) and (5,41) we can determine the equation.

Now, 14 = - 10a + b .............. (2) and

41 = 5a + b ................. (3)

Solving equations (2) and (3) we get,

(41 - 14) = 15a

⇒ a = 1.8

Now, from equation (3) we get,

41 = 5(1.8) + b

⇒ b = 32

Therefore, the equation to determine the Fahrenheit temperature from the Celsius temperature is,

F = 1.8C + 32 (Answer)

7 0

4 years ago

Read 2 more answers

How do you simplify 28/50?

tigry1 [53]

You can simplify a fraction by dividing both sides by the biggest number both sides can be divided by without having a remainder.
28/50 -> 28/2 = 14; 50/2 = 25 -> 14/25
both numbers were divisible by the number 2, simplifying the fraction to 14/25

5 0

3 years ago

Read 2 more answers

The diameters of Douglas firs grown at a Christmas Tree Farm are normally distributed with a mean of 4 inches and a standard dev

leva [86]

Answer:

The proportion of trees greater than 5 inches is expected to be 0.25 of the total amount of trees.

Step-by-step explanation:

In this problem we have a normal ditribution with mean of 4.0 in and standard deviation of 1.5 in.

The proportion of the trees that are expected to have diameters greater than 5 inches is equal to the probability of having a tree greater than 5 inches.

We can calculate the z value for x=5 in and then look up in a standard normal distribution table the probability of z.

$z=\frac{x-\mu}{\sigma}=\frac{5-4}{1.5}=0.67$