Algebra: Monomials, Binomials, and Polynomials

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5 Questions

What is an expression containing one or more terms with non-zero coefficients called?

Polynomial

What is the term for an expression containing three terms?

Trinomial

Which of the following is an example of a monomial?

4x^2

What is the term for an expression containing two terms?

Binomial

Which of the following is not an example of a polynomial?

z^2 / 4y^2

Study Notes

Types of Expressions

  • An expression containing only one term is called a monomial.
  • An expression containing two terms is called a binomial.
  • An expression containing three terms is called a trinomial.
  • An expression containing one or more terms with non-zero coefficients and variables having non-negative integers as exponents is called a polynomial.
  • A polynomial can contain any number of terms, one or more than one.

Examples of Expressions

  • Monomials: 4x2, 3xy, –7z, 5xy2, 10y, –9, 82mnp, etc.
  • Binomials: a + b, 4l + 5m, a + 4, 5 –3xy, z2 – 4y2, etc.
  • Trinomials: a + b + c, 2x + 3y – 5, x2y – xy2 + y2, etc.
  • Polynomials: a + b + c + d, 3xy, 7xyz – 10, 2x + 3y + 7z, etc.

Learn about the different types of algebraic expressions, including monomials, binomials, trinomials, and polynomials. Understand the characteristics of each and examples to clarify the concepts.

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