trinomial

Meanings

• noun

  A mathematical expression consisting of three terms.

  - "The quadratic trinomial x^2 + 2x + 1 has three terms."
  - "In algebra, a trinomial is a polynomial with three terms."

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Variants

List of all variants of trinomial that leads to same result
trinomial , trinomials

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Etymology

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

From the Greek words 'tri' meaning three and 'nomos' meaning law or rule.

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Trivia

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

1. A trinomial can be of any degree (the highest power of the variable), but it is most commonly referred to as a quadratic trinomial when the highest power is 2.

2. The sum of the coefficients of a trinomial can be determined by the formula C1 + Cn, where C1 is the coefficient of the first term and Cn is the coefficient of the last term.

3. The number of possible trinomials of degree n is given by the binomial coefficient (n+2)C2.

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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. Polynomial: A trinomial is a type of polynomial, which is an expression consisting of variables and coefficients raised to powers and multiplied by each other.

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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.

Trinomials are a fundamental concept in algebra and are used extensively in various mathematical calculations and equations.

How to Memorize "trinomial"

1. visualize
   

   - Visualize a polynomial with three terms to remember what a trinomial is.
   - Imagine breaking down a polynomial into three distinct parts to understand the concept of a trinomial.

2. associate
   

   - Associate the word 'trinomial' with the number 'three' to help remember its definition.
   - Connect the term 'trinomial' with the concept of a polynomial having three terms.

3. mnemonics
   

   - Use the mnemonic 'Three terms, that's a trinomial' to remember the definition.
   - Create a sentence using the word 'trinomial' to help remember its meaning.

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