Monomial, Binomial, Trinomial MCQs Quiz | Class 9

This quiz covers Class IX Mathematics (Code 041), Unit II: Algebra. The specific topic is definitions, identification, and examples of Monomials, Binomials, and Trinomials. Please answer all questions, click Submit to view your score, and download the solution PDF for revision.

Overview: Types of Polynomials Based on Terms

In Algebra (Unit II), polynomials are often classified by the number of terms they contain. A term is a part of an algebraic expression separated by plus (+) or minus (-) signs.

Key Definitions

  • Monomial: An algebraic expression that contains exactly one term. Examples: 5x, 3y^2, -7, 2abc.
  • Binomial: An algebraic expression that contains exactly two terms. Examples: x + y, 2x – 5, x^2 – 4.
  • Trinomial: An algebraic expression that contains exactly three terms. Examples: x + y + z, x^2 + 5x + 6.

Quick Identification Table

Expression Number of Terms Classification
7x^3 1 Monomial
4x + 2 2 Binomial
3x^2 – 2x + 1 3 Trinomial
15 1 Monomial (Constant)

Important Notes

1. Terms are separated by addition or subtraction operators only. Multiplication and division do not separate terms (e.g., 2xy is one term).
2. A constant number (like 5 or -10) is considered a monomial.
3. Polynomials with more than three terms do not have specific names like ‘quadrinomial’ in common usage; they are simply called polynomials.

Extra Practice Questions

  • 1. Classify 100x as a monomial, binomial, or trinomial. (Answer: Monomial)
  • 2. How many terms are in z^2 – 3z + 8? (Answer: 3, Trinomial)
  • 3. Is x + x a binomial? (Answer: No, it simplifies to 2x, which is a Monomial.)
  • 4. Give an example of a binomial of degree 35. (Answer: x^35 + 10)
  • 5. Identify the constant term in x^2 + 2x – 5. (Answer: -5)