Math Problem Statement

Classify the expressions as either a monomial (single term), a binomial (two terms), or a trinomial (three terms).

1. 5x2335x2​

2.16−4x2+10x16−4x2+10x

  1. 3x3

4.-x2-16  

Solution

Let's classify each expression as a monomial, binomial, or trinomial:

  1. Expression: 5x25x^2

    • Classification: Monomial (single term)
      • This expression has only one term: 5x25x^2.
  2. Expression: 164x2+10x16 - 4x^2 + 10x

    • Classification: Trinomial (three terms)
      • This expression has three distinct terms: 1616, 4x2-4x^2, and 10x10x.
  3. Expression: 3x33x^3

    • Classification: Monomial (single term)
      • This expression has only one term: 3x33x^3.
  4. Expression: x216-x^2 - 16

    • Classification: Binomial (two terms)
      • This expression has two distinct terms: x2-x^2 and 16-16.

Would you like any further details or have any questions?

Here are some related questions:

  1. What would the classification be for the expression 7x+2y+37x + 2y + 3?
  2. How do you classify the expression 4xy4xy?
  3. Can you create an example of a polynomial with four terms?
  4. What are the steps to add two binomials together?
  5. How do you multiply a monomial by a binomial?
  6. Can you factorize the trinomial x2+5x+6x^2 + 5x + 6?
  7. How do you classify an expression like 77 (with no variable)?
  8. What is the degree of the trinomial 2x34x+92x^3 - 4x + 9?

Tip: When classifying polynomials, count the number of distinct terms, separated by addition or subtraction signs, to determine whether it is a monomial, binomial, or trinomial.

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Math Problem Analysis

Mathematical Concepts

Polynomials
Monomials
Binomials
Trinomials

Formulas

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Theorems

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Suitable Grade Level

Grades 7-9