polynomials

Meanings

• noun

  An expression consisting of variables and coefficients, combined with addition, subtraction, multiplication, and non-negative integer exponents.

  - "f(x) = 2x^2 + 3x - 5 is an example of a polynomial."
  - "A quadratic polynomial has the general form ax^2 + bx + c."

• noun

  In mathematics, a polynomial is a expression with only constants and variables, and the operations of addition, subtraction, and multiplication.

  - "3x^2 + 2x + 1 is a polynomial."
  - "The degree of a polynomial is the highest power of the variable that appears in the polynomial."

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Pronunciation

1. /pɑ.lə.noʊ.mi.l/
   
   
   
   Source: "https://commons.wikimedia.org/w/index.php?curid=1161501"

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Variants

List of all variants of polynomials that leads to same result
polynomial , polynomials , characteristic polynomial , characteristic polynomials

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Etymology

origin and the way in which meanings have changed throughout history.

The term polynomial comes from the Greek words polys (many) and logos (part, proportion, or word).

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Trivia

Any details, considerations, events or pieces of information regarding the word

1. Polynomials can have any degree, including negative degrees.

2. The term 'polynomial' was first introduced by the Swiss mathematician Albert Ribaupierre in 1551.

3. Polynomials can be represented in various forms, including standard form, factored form, and vertex form.

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Related Concepts

informations on related concepts or terms closely associated with the word. Discuss semantic fields or domains that the word belongs to

1. coefficients: In a polynomial, the constants in front of each term are called coefficients.

2. roots: The solutions of a polynomial equation are called roots.

3. degree: The degree of a polynomial is the highest power of the variable that appears in the polynomial.

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Culture

Any cultural, historical, or symbolic significance of the word. Explore how the word has been used in literature, art, music, or other forms of expression.

Polynomials have been used extensively in various fields, including physics, engineering, economics, and computer science. They are essential tools for modeling real-world phenomena and solving complex problems.

How to Memorize "polynomials"

1. visualize
   

   - To visualize a polynomial, imagine it as a graph with x-axis and y-axis.
   - Plot each term of the polynomial on the graph.
   - The graph of a polynomial shows its behavior and the number of roots.

2. associate
   

   - Associate a polynomial with a real-life situation or scenario.
   - For example, consider a polynomial representing the total cost of buying apples and oranges.

3. mnemonics
   

   - Create a mnemonic to remember the order of operations (PEMDAS): Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

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