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What type of expression is 4x²y + 2 - 3x?
  • a)
    Binomial
  • b)
    Polynomial
  • c)
    Monomial
  • d)
    Trinomial
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
What type of expression is 4x²y + 2 - 3x?a)Binomialb)Polynomialc)Monom...
The expression 4x²y + 2 - 3x is a trinomial because it contains three non-zero terms. Recognizing the types of expressions is crucial for performing algebraic operations.
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What type of expression is 4x²y + 2 - 3x?a)Binomialb)Polynomialc)Monom...
Understanding the Expression: 4x²y + 2 - 3x
To classify the expression 4x²y + 2 - 3x, it is essential to understand the definitions of different types of algebraic expressions.
What is a Monomial?
- A monomial consists of a single term. For example, 5x or 3y².
What is a Binomial?
- A binomial contains two terms. For example, 2x + 3 or 4y - 5.
What is a Trinomial?
- A trinomial consists of three distinct terms. For example, x² + 2x + 1.
What is a Polynomial?
- A polynomial is a general term that includes monomials, binomials, and trinomials. It consists of one or more terms combined by addition or subtraction.
Analyzing the Expression
1. The expression 4x²y + 2 - 3x has three separate terms:
- 4x²y (first term)
- 2 (second term)
- -3x (third term)
2. Since there are three distinct terms in the expression, it qualifies as a trinomial.
Conclusion
Thus, the correct classification for the expression 4x²y + 2 - 3x is option 'D', which is trinomial. Understanding these classifications helps in identifying and working with algebraic expressions more effectively.
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