trinomial

(noun)

A polynomial with three terms.

Related Terms

  • square
  • Monomials
  • Binomials
  • Multiplication of Two Monomials
  • Binomial
  • binomial
  • monomial
  • linear
  • coefficient
  • polynomial

(noun)

A polynomial expression consisting of three terms, or monomials, separated by addition and/or subtraction symbols.

Related Terms

  • square
  • Monomials
  • Binomials
  • Multiplication of Two Monomials
  • Binomial
  • binomial
  • monomial
  • linear
  • coefficient
  • polynomial

Examples of trinomial in the following topics:

  • Factoring Perfect Square Trinomials

    • When a trinomial is a perfect square, it can be factored into two equal binomials.
    • It is important to be able to recognize such trinomials, so that they can the be factored as a perfect square.
    • If you are attempting to to factor a trinomial and realize that it is a perfect square, the factoring becomes much easier to do.
    • Since the middle term is twice $4 \cdot x$, this must be a perfect square trinomial, and we can factor it as:
  • Sums, Differences, Products, and Quotients

    • A monomial equations has one term; a binomial has two terms; a trinomial has three terms.
    • Multiplying binomials and trinomials is more complicated, and follows the FOIL method.
  • Factoring a Difference of Squares

    • .$ Usually when we multiply two binomials we obtain a trinomial, but in this case, when we FOIL, the outer and inner terms cancel.
  • Multiplying Algebraic Expressions

    • A monomial can be multiplied by a polynomial of any size (note that a polynomial is called a binomial if it has two terms and a trinomial if it has three terms).
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