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lesya [120]
3 years ago
13

Write a polynomial f(x) that satisfies the given conditions, Express the polynomial with the lowest possible leading positive in

teger coefficient
Polynomial of lowest degree with lowest possible integer coefficients, and with zeros 5-8i and 0 (multiplicity 4).
Mathematics
1 answer:
RUDIKE [14]3 years ago
4 0

9514 1404 393

Answer:

  f(x) = x^6 -10x^5 +89x^4

Step-by-step explanation:

For a given zero p with multiplicity n, one of the factors of the polynomial will be (x -p)^n. If the polynomial has real coefficients, then the complex zeros come in conjugate pairs.

The factored form of your polynomial is ...

  f(x) = (x -(5 -8i))(x -(5 +8i))(x -0)^4

  f(x) = ((x -5)^2 -(8i)^2)(x^4) = (x^2 -10x +89)(x^4)

  f(x) = x^6 -10x^5 +89x^4

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Here is a table showing all 52 cards in a standard deck.
stepan [7]

We want to find the probability of drawing 3 red cards from a deck of 52 cards.

We will find that the probability is P = 0.1176

Let's see how to get that probability.

We know that a standard deck of 52 cards has:

  • 26 red cards
  • 26 black cards

And we assume that all the cards have the same probability of being drawn. Then the probability of drawing a red card in the first draw is just the quotient between the number of red cards and the total number of cards, we get:

p₁ = 26/52

For the second draw, we compute the probability in the same way, but now there are 25 red cards in the deck and 51 cards in total (because one is already drawn). Then the probability in this case is:

p₂ = 25/51

Finally, for the third card, we have 24 red cards and 50 total cards, then the probability will be:

p₃ = 24/50

The joint probability (the probability of drawing the 3 red cards in the same event) is the product of the individual probabilities.

P = p₁*p₂*p₃ = (26/52)*(25/51)*(24/50) = 0.1176

If you want to learn more, you can read:

brainly.com/question/10224828

8 0
3 years ago
Is 2.356... rational or irrational
777dan777 [17]

Answer:

Rational

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
What is 2. 314 (3.14 repeating )as a fraction
soldier1979 [14.2K]

Your final answer will be 2 157/500 for the decimal 2.314

8 0
3 years ago
I need help with these 2 questions.
Usimov [2.4K]
The first one is 32m^15n^10
The second one is:
(h^12/h^4)^5
(h^6/h)^5
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Hope this helps :)
3 0
3 years ago
What is the slipe of (-1,3) and (1,3) ?
Minchanka [31]

Answer:

0 theres no slope lol cause

3-3= 0

1--1=2

7 0
3 years ago
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