Algebra: Monomials, Binomials, and Polynomials

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Questions and Answers

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

  • Binomial
  • Trinomial
  • Monomial
  • Polynomial (correct)

What is the term for an expression containing three terms?

  • Monomial
  • Polynomial
  • Trinomial (correct)
  • Binomial

Which of the following is an example of a monomial?

  • z^2 - 4y^2
  • 4x^2 (correct)
  • a + b
  • x^2 + 3y - 2

What is the term for an expression containing two terms?

<p>Binomial (A)</p> Signup and view all the answers

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

<p>z^2 / 4y^2 (D)</p> Signup and view all the answers

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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.

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