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pochemuha
3 years ago
11

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

Mathematics
1 answer:
Anton [14]3 years ago
6 0

Replace

f

(

x

)

f

(

x

)

with

y

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

y

with

0

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

2

. Dividing

0

0

by any non-zero number is

0

0

.

(

x

−

2

)

(

x

2

−

11

)

=

0

(

x

-

2

)

(

x

2

-

11

)

=

0

Set

x

−

2

x

-

2

equal to

0

0

and solve for

x

x

.

Tap for more steps...

x

=

2

x

=

2

Set

x

2

−

11

x

2

-

11

equal to

0

0

and solve for

x

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

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Answer:

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Step-by-step explanation:

Given data

We are told that the ball is 12 inches in diameter

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V= 4/3πr^3

substitute

V= 4/3*3.142*6^3

V= 4/3*3.142*216

V=2714.688/3

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2 years ago
Zair has 48 marbles in his pocket. He has 3 more blues than the
d1i1m1o1n [39]

Answer:

# yellow = 20

# blue = 23

# red = 5

Step-by-step explanation:

let 'r' = # red marbles

let '4r' = # yellow marbles

let '3+4r' = # blue marbles

r + 4r + 3 + 4r = 48

9r + 3 = 48

9r = 45

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red = 5

yellow = 4(5) = 20

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6 0
2 years ago
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Nana76 [90]

Answer:

Valarie make 1\frac{2}{3}\ cups of fruit drink.

Step-by-step explanation:

Given:

Valarie made fruit drinks for a birthday party.

She used 3/6 of a cup of grape juice, 5/6 of a cup of strawberry juice, and 2/6 cup of soda. She mixes all the juices together.

Now, to find cups of fruit drink Valarie make.

As given that she mixes all juices altogether.

So, to get the cups of fruit drink we add all quantities of juice:

3/6 cup of grape juice + 5/6 cup of strawberry juice + 2/6 cup of soda.

=\frac{3}{6} + \frac{5}{6} +\frac{2}{6}

=\frac{3+5+2}{6}

=\frac{10}{6}

<em>Dividing numerator and denominator by 2 we get:</em>

=\frac{5}{3} =1\frac{2}{3}

Therefore, Valarie make 1\frac{2}{3}\ cups of fruit drink .

8 0
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