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2 years ago

How to form a polynomial with given zeros and degree and multiplicity calculator

Mathematics

1 answer:

ohaa [14]2 years ago

3 0

Answer:

Taking P(x) = x³-12x-16 as an example

Step-by-step explanation:

For a polynomial, if

x = a is a zero of the function, then (x − a) is a factor of the function.

We have two unique zeros:

−2 and 4. However, −2 has a multiplicity of 2, which means that the factor that correlates to a zero of −2 is represented in the polynomial twice.

Following how it's constructed

zero at -2, multiplicity 2

zero at 4, multiplicity 1

p(x)=x−(−2))²(x−4)¹

Thus,p(x)=(x+2)²(x−4)

Expand: p(x)=(x²+4x+4)(x−4)

p(x) =x³−12x−16

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Contact [7]

Answer:

Step-by-step explanation:

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2 years ago

Round the number –18.772 to the nearest negative integer.

sergij07 [2.7K]

Answer:

-19

Step-by-step explanation:

because the rule is four or less let it rest

5 or more raise the score!

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2 years ago

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Fantom [35]

Using the binomial distribution, it is found that there is a 0.7447 = 74.47% probability that fewer than 7 of them show up.

<h3>What is the binomial distribution formula?</h3>

The formula is:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

In this problem, the values of the parameters are given as follows:

p = 0.7, n = 8.

The probability that fewer than 7 of them show up is given by:

[tec]P(X < 7) = 1 - P(X \geq 7)[/tex]

In which:

$P(X \geq 7) = P(X = 7) + P(X = 8)$

Then:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 7) = C_{8,7}.(0.7)^{7}.(0.3)^{1} = 0.1977$

$P(X = 8) = C_{8,8}.(0.7)^{8}.(0.3)^{0} = 0.0576$

Then:

$P(X \geq 7) = P(X = 7) + P(X = 8) = 0.1977 + 0.0576 = 0.2553$

[tec]P(X < 7) = 1 - P(X \geq 7) = 1 - 0.2553 = 0.7447[/tex]

0.7447 = 74.47% probability that fewer than 7 of them show up.

More can be learned about the binomial distribution at brainly.com/question/24863377

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2 years ago

6. What is the coordinates of the center and the radius of the circle

PtichkaEL [24]

Answer:

A. Center (4,3); Radius = 5 units

Step-by-step explanation:

The equation of a circle can be written in the form

(x-h)^2 + (y - k)^2 = r^2

where (h,k) is the center and r is the radius

(x-4)^2 + (y - 3)^2 = 25

(x-4)^2 + (y - 3)^2 = 5^2

The center is (4,3) and the radius is 5

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3 years ago

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Solve and graph the inequality. 4/5x + 5 < -3

sergiy2304 [10]

The correct answer is x < -10, which is A. I hope this helps!

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3 years ago

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