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eduard
3 years ago
12

Enter the number of complex zeros for the polynomial function in the box. f(x)=x3−96x2+400

Mathematics
2 answers:
Julli [10]3 years ago
7 0

Answer:

3

Step-by-step explanation:

ioda3 years ago
5 0

Solution:

There is no (zero) complex zeros for the given polynomial.

Explanation:

We apply Descartes' rule of sign to identify the number of complex roots.

The given polynomial is f(x)=x^3-96x^2+400

Let us see the number of sign changes in f(x)

+,-,+

There are 2 sign changes in f(x). One from plus to minus and second from plus to minus. Hence, there 2 or 0 positive roots.

Now, let us see the number of sign changes in f(-x)

f(-x)=-x^3-96x^2+400

-,-,+

There are only one sign change. Hence, there will be 1 negative roots.

The degree of the polynomial is 3. Hence, there will be exactly 3 zeros.

Therefore, the possible numbers of zeros are

2 positive, 1 negative and 0 complex

0 positive, 1 negative and 2 complex.

Hence, possible number of complex zeros are 0 and 2.

Now, we graph the function in xy plane and see that the graph cuts the x axis at three points. It means all the zeros are real , which is the case of first possibility (2 positive, 1 negative and 0 complex).

Hence, the number of complex zeros for the given polynomial is zero.

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The length of a rectangle is measured as 370mm correct to 2 significant figures.
olga nikolaevna [1]

Answer:

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Step-by-step explanation:

370mm to 2 sig figs..

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5 0
3 years ago
Jordan is preparing serving of baby carrots. He has 96 baby carrots, each serving is 12 carats, how many shearings can Jordan pr
lesantik [10]

Answer: See explanation

Step-by-step explanation:

Since we given the information that Jordan is preparing serving of baby carrots and that he has 96 baby carrots, while each serving is 12 carats.

The number of shearings that Jordan can prepare will be:

= 96 / 12

= 8

From the above calculation, there won't be any carrots left since we do not have a remainder.

5 0
2 years ago
1/2 4/3 9/4 16/5<br> find the nth term of this sequence
Phantasy [73]
The nth number is 81 /10.

Steps:
You multiple the denominator by itself
4 0
2 years ago
Jeff and Marcia own a llama farm. On their farm, they have 240 llamas.
kaheart [24]

Answer:

$46,800

Step-by-step explanation:

3/5 of 240 is 144

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5 0
3 years ago
Read 2 more answers
5c + 16.5 = 13.5 + 10c c =
olga55 [171]

Answer:

3/5 or 0.6

Step-by-step explanation:

− 5 c + 16.5 = 13.5

− 5 c = − 3

c=3/5

c=0.6

4 0
3 years ago
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