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atroni [7]
3 years ago
14

A fourth-degree polynomial with integer coefficients has zeros at 1 and 3 +

0" id="TexFormula1" title=" \sqrt{5} " alt=" \sqrt{5} " align="absmiddle" class="latex-formula"> Which number cannot also be a zero of this polynomial?
A. 1
B. -3
C. 3-\sqrt{5
D. 3+\sqrt{2}
Mathematics
1 answer:
Leni [432]3 years ago
4 0

If a radical be a zero of a polynomial then it's conjugate will also be the zero.

Like for the given problem has a zero 3+ √5. So, it's conjugate 3- √5 must be the other zero.

Hence, the zeroes of the polynomial are 1, 3+ √5 and 3-√5.

According to the problem, the degree of the polynomial is 4.

We already have three zeroes, so only one zero is unknown.

Because degree of polynomial = number of zeroes.

Other zeroes can be 1 and -3. We have already found that 3 - √5 is one of the zero.

So, A, B, C cannot be the correct choice.

But if 3+ √2 will be a zero then 3- √2 will also be the zero. Then the polynomial will have 5 zeroes which is not possible as the polynomial has degree four.

So, D: 3+ √2 cannot also be a zero of this polynomial.

Hope this helps you!

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assume that each of 2000 frogss living near a nuclear power plant is exposed to particles of a certain kind of radiation at an a
aleksandr82 [10.1K]

distribution of the total number of tumors produced in the whole population over a one-year period by this kind of radiation is 0, 1, 2, ..................104000.

let, x denote the total number of hits,

y denotes the number of hits by a particle in a year or an individual,

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therefore, rate = 52 per year

since it is very rare to hit all individuals, we can use Poisson distribution.

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= {e⁻⁵² × 52ˣ} ÷ x! × 10⁻⁵ ; x = 0, 1, 2, ............104000

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Know more about Poisson distribution here: brainly.com/question/17280826

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(complete question)

Assume that each of the 2000 individuals living near a nuclear power plant is exposed to particles of a certain kind of radiation at an average rate of one per week. Suppose that each hit by a particle is harmless with a probability of 1 - 10⁻⁵, and produces a tumor with a probability of 10⁻⁵. Find the approximate distribution of the total number of tumors produced in the whole population over a one-year period by this kind of radiation.

4 0
1 year ago
Please help 6th grade math im new to it pleaae explain good​
Sholpan [36]

Answer:

0.6

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Given the trapezoid formula:

1/2(b1+b2/2)xH

We are given the numbers for the trapezoid:

0.3,0.9,1

To solve this here is what we are going to do.

1/2(0.9+0.3)x1

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Then Divide 1.2/2=0.6

So multiply 0.6 x 1=0.6

0.6 is your answer

7 0
3 years ago
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