Important help on the subject of polynomials of binomial arrangement

In summary, the conversation discusses the use of polynomials to solve binomial distribution and the attachment of a document with a question that the speaker is struggling with. They also clarify that the attached file requires Excel and suggest a possible typo of "without repetition" instead of "without replacement." The initial equations in the spreadsheet are mentioned and the speaker points out that they assume replacement of colored balls after each choice. Additionally, they mention that there are two options for solving the question and express gratitude for the quick response.
  • #1
issue
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Homework Statement
Important help on the subject of polynomials of binomial arrangement
Relevant Equations
Important help on the subject of polynomials of binomial arrangement
[Mentor Note -- Multiple threads merged. @issue -- please do not cross-post your threads]

Hi, everyone
It is known that binomial distribution can also be solved by polynomials. i add document with a question I can not solve.

Glad to get for help

Thanks to all the respondents
 

Attachments

  • question.xlsx
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Last edited by a moderator:
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  • #2
Hi, everyone
It is known that binomial distribution can also be solved by polynomials. i add document with a question I can not solve.

Glad to get for help

Thanks to all the respondents
 

Attachments

  • question.xlsx
    20.3 KB · Views: 148
  • #3
Two points of clarification before proceeding:
  1. The attached file requires Excel.
  2. Possible typo. Did you mean "without replacement" instead of "without repetition"?.
If I read the question correctly, the initial equations in the spreadsheet assume replacement of the colored balls after each choice.
 
  • #4
Point refinement: There are 2 options 1. Take out a ball and return it to the basket 2. Find a ball and do not return it to the basket

By the way thank you very much for the quick response. it's not taken for granted
 
  • #5
Klystron said:
Two points of clarification before proceeding:
  1. The attached file requires Excel.
  2. Possible typo. Did you mean "without replacement" instead of "without repetition"?.
If I read the question correctly, the initial equations in the spreadsheet assume replacement of the colored balls after each choice.
Point refinement: There are 2 options 1. Take out a ball and return it to the basket 2. Find a ball and do not return it to the basket

By the way thank you very much for the quick response. it's not taken for granted
 

FAQ: Important help on the subject of polynomials of binomial arrangement

What is a polynomial of binomial arrangement?

A polynomial of binomial arrangement is a mathematical expression that consists of two terms, typically separated by a plus or minus sign, where each term is a product of a constant and a variable raised to a non-negative integer power.

How do you determine the degree of a polynomial of binomial arrangement?

The degree of a polynomial of binomial arrangement is determined by finding the highest power of the variable in the expression. For example, in the polynomial 3x^2 + 5x + 2, the degree is 2 because the highest power of x is 2.

What is the difference between a binomial and a polynomial?

A binomial is a polynomial with two terms, while a polynomial can have any number of terms. Additionally, a binomial can only be simplified using the FOIL method, while a polynomial can be simplified using various methods such as factoring or the distributive property.

How do you add or subtract polynomials of binomial arrangement?

To add or subtract polynomials of binomial arrangement, you must first group like terms together. Then, you can combine the coefficients of the like terms and keep the variable and its corresponding exponent the same. For example, (3x^2 + 5x + 2) + (2x^2 + 4x - 1) = (3+2)x^2 + (5+4)x + (2-1) = 5x^2 + 9x + 1.

Can you multiply or divide polynomials of binomial arrangement?

Yes, you can multiply and divide polynomials of binomial arrangement using the FOIL method and the rules of exponents. For division, you can use long division or synthetic division. It is important to note that the resulting polynomial may not always be in binomial form.

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