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lisov135 [29]
3 years ago
6

Three roots of a fifth degree polynomial function f(x) are -2,2 and 4 + i which statement describes the number and nature of all

roots for this function?

Mathematics
1 answer:
liubo4ka [24]3 years ago
4 0

Answer:

f(x) has three real roots and two imaginary roots.

Step-by-step explanation:

Given that three roots of a fifth degree polynomial function f(x) are -2,2 and (4+i).

Now we need to find about which of the given statements describes the number and nature of all roots for this function.

We know that imaginary roots always occur in conjugate pairs.

So if (4+i) is root then (4-i) must also be the root.

So now we have total 4 roots

-2, 2, (4+i) and (4-i).

Degree of the polynomial is 5 so that means 1 root is still remaining. It can't be imaginary as that must be in pairs

So that means 5th root is real.

Hence correct choice is :

f(x) has three real roots and two imaginary roots.

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Peyton needed to get her computer fixed. She took it to the repair store. The
Lelu [443]

Answer:

The cost of labor per hour is $105.

The expression is 4x + 77 = 497

Step-by-step explanation:

The expression is 4x + 77 = 497, where 4x represents the cost of labor per hour, 77 is the cost of the parts, and 497 is the total.

4x + 77 = 497

4x + 77 - 77 = 497 -77

4x = 420

4x/4=420/4

x = 105

5 0
3 years ago
Which one of the following reasons does NOT explain why 4x+5y≠9xy?
viva [34]
<h3>The terms 4x and 5y has different variable present in it. 4x + 5y \neq 9xy</h3>

<em><u>Solution:</u></em>

Given that,

4x + 5y \neq 9xy

<em><u>The reason is:</u></em>

When we are adding terms which has exactly the same variables, we must add the constants and let the result stand with variable

Which means,

4x + 10x = 14x

But,

We cannot add terms that has different variable

Which means,

4x + 5y

Here, both the terms 4x and 5y has different variable present in it. Hence they cannot be added together

4x+5y\neq 9xy

6 0
3 years ago
What is 1000 times 20
PIT_PIT [208]
The answer is 20,000
3 0
3 years ago
Read 2 more answers
A square pyramid is shown below:
padilas [110]

Answer:

8.01 Is the answer your welcome

3 0
2 years ago
Please help with number 3!! I can’t figure it out.
FrozenT [24]

Answer:

Gabe worked 65, Abe worked 62 and Babe worked 69.

Step-by-step explanation:

Let Gabe = x

Therefore, Abe worked: x-3 and Babe worked x+4

So,

x+(x-3)+(x+4)=196

3*x+1=196

3*x=195

x=65

Then,

x-3= 62

x+4=69


8 0
2 years ago
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