Complex zeros exist in conjugate pairs so the fourth zero is 5 - 4i
So we have

P(x) = ( x - 3)(x + 13)(x - (5 + 4i))(x - (5 - 4i))

= (x - 3)(x + 13)( x - 5 - 4i)(x - 5 + 4i)

= (x^2 + 10x - 39)(x^2 - 5x + 4ix - 5x + 25 -20i - 4ix + 20i -16i^2)

= (x^2 + 10x - 39)(x^2 - 10x + 41)

= x^4 - 10x^3 + 41x^2 + 10x^3 - 100x^2 + 410x - 39x^2 + 390x - 1599

= x^4 - 98x^2 + 800x - 1599 Answer

5 0

3 years ago

She invited 150 friends. But she only had 5 activities for her friends and her party only lasted 4 hours. How much time will eac

DanielleElmas [232]

Answer:

19.20 seconds.

Step-by-step explanation:

Given:

She invited 150 friends.

But she only had 5 activities for her friends and her party only lasted 4 hours.

Question asked:

How much time will each friend get on each activity ?

Solution:

First of all convert 4 hours into seconds:-

1 hour = 3600 seconds

4 hours = 3600 $\times$ 4 = 14400 seconds

By unitary method:

150 friends get time in 5 activities = 14400

1 friend get time in 5 activities = 14400 $\div$ 150 = 96 seconds

That means each friend get 96 seconds in all 5 activities.

Each friend get time on each activity = ?

Each friend get time on 5 activities = 96

Each friend get time on 1 activity = 96 $\div$ 5 = 19.20 seconds

Thus, each friend will get 19.20 seconds on each activity.

4 0

3 years ago

Tomás Vega offers to pay $59 of the March cell phone bill Each of the other 4 members of the family agree to split the rest of t

adelina 88 [10]

it is $14.75 ....................

7 0

3 years ago