Lincoln memorial geometrical shape

Three roots of a fifth degree polynomial function f(x) are –2, 2, and 4 i. Which statement describes the number and nature of al

bagirrra123 [75]

The correct option is f(x) has three real roots and two imaginary roots.

Given

Three roots of a fifth-degree polynomial function f(x) are –2, 2, and 4 i.

<h3>Complex conjugate</h3>

The complex conjugate of a complex number is the number with an equally real part and an imaginary part equal in magnitude but opposite in sign.

It is given that the roots of the fifth-degree polynomial function are -2, 2, and 4+i.

Since the degree of f(x) is 5, therefore there are 5 roots of the function either real or imaginary.

According to the complex conjugate root theorem, if a+ib is a root of a polynomial function f(x), then a-ib is also a root of the polynomial f(x).

Since 4+i is a root of f(x), so by complex conjugate rot theorem 4-i is also a root of f(x).

From the given data the number of real roots is 2 and the number of 2. The number of complex roots is always an even number, so the last root must be a real number.

Therefore, the correct option is f(x) has three real roots and two imaginary roots.

To know more about imaginary roots click the link given below.

brainly.com/question/1375079

3 0

2 years ago

A bag of baseballs cost 9.99 dollars and each bag contains 6 baseballs. if the baseballs were sold individually, how much would

user100 [1]

The price of each ball in a baseball bag would be 1.665 dollars

It is given that,

The cost price of a bag of baseball bag = 9.99 dollars

The number of balls in each bag = 6 baseballs

Now, we need to find the cost of one baseball if it were to sold individually

To find the cost of one quantity out of a bunch we divide the bunch price with the number of quantities in the bunch

Here, in this case

The cost price of each ball = $\frac{Total cost of a baseball bag }{number of balls in each bag}$

= $\frac{9.99}{6}$

= 1.665 dollars

Hence, the price of each ball in a baseball bag would be 1.665 dollars

To learn more about, cost price here,

brainly.com/question/11027396

#SPJ4

5 0

1 year ago

What is the difference between value and place value?

worty [1.4K]

Place value is where the number is placed and value is what that place is called

6 0

3 years ago

Mrs. Hanson has 2 pies for a party. She calculates that if she splits the pies evenly among the guests, they will each receive 1

brilliants [131]

There are 32 guests.
Proof: 1*8*2=32.

4 0

3 years ago

Read 2 more answers

What’s the answer to

Roman55 [17]

Hint: the sum of the angles is equal to 180 in a triangle. could you make an equation to use that?

3x+13, 7x+2, and 75 are the three angle values. They will sum up to 180.

Steps:

We set the equation to:

3x+13+7x+2+75=180

We can combine some terms

10x+90=180

Then, we isolate x

10x=90

And we divide by 10

x=9

Great! but we are not done yet. We want the measure of angle A, so we need to plug x back into the equation for angle a

3(9)+13

Multiply

27+13

Add

40

8 0

2 years ago

Lincoln memorial geometrical shape​

Lincoln memorial geometrical shape