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Expression that contains only one term is called a __________.
  • a)
    monomial
  • b)
    binomial
  • c)
    trinomial
  • d)
    None of these
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Expression that contains only one term is called a __________.a)monomi...
- A monomial is an algebraic expression containing only one term.
- It can be a constant, a variable, or a product of constants and variables.
- For example, 7, and -3xy are all monomials.
- A binomial has two terms, and a trinomial has three.
- Therefore, the correct answer is A: monomial, as it describes an expression with a singular term.
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Expression that contains only one term is called a __________.a)monomi...
Monomial

A monomial is a mathematical expression that contains only one term. It is a type of polynomial that consists of a single term. The term can be a constant, a variable, or a product of constants and variables.

Examples of monomials:

- 5
- x
- 2xy
- -3a²

A monomial can be simplified by combining like terms. Like terms are terms that have the same variables raised to the same powers.

For example, the monomial 3x²y - 2xy² can be simplified as follows:

3x²y - 2xy² = xy(3x - 2y)

In this simplified form, the monomial is still a single term, but it is expressed as a product of a constant (xy) and a binomial (3x - 2y).

Binomial and Trinomial

Binomials and trinomials are also types of polynomials, but they contain two and three terms, respectively.

Examples of binomials:

- 2x + 5y
- 3a² - 4b
- 6xy + 2y²

Examples of trinomials:

- x² + 2x + 1
- 2a² - 5ab + 3b²
- 4xy² + 3x²y - 2y³
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