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sification - practice label as: monomial, binomial, trino -9x^{3}y^{2}z…

Question

sification - practice
label as: monomial, binomial, trino
-9x^{3}y^{2}z^{2}
-2w^{3}
(2) 9x^{9}
(4) 9 -
(6) 5 -
(8) 15x^{4}

Explanation:

Response

To solve the problem of classifying the given expressions as monomial, binomial, or trinomial, we first recall the definitions:

  • Monomial: An algebraic expression with only one term (e.g., \(9x^9\), \(-2w^3\), \(-9x^3y^2z\), \(15x^4\)).
  • Binomial: An algebraic expression with two terms (e.g., \(9 - \dots\) (incomplete), \(5 - \dots\) (incomplete)).
  • Trinomial: An algebraic expression with three terms (not visible in the provided snippets).
Let’s analyze each visible expression:
  1. Expression (2): \(9x^9\)

This has only one term (a single product of a coefficient and a variable). Thus, it is a monomial.

  1. Expression (4): \(9 - \dots\) (incomplete)

If the full expression has two terms (e.g., \(9 - 2x\)), it would be a binomial.

  1. Expression (6): \(-9x^3y^2z\) and \(5 - \dots\) (incomplete)
  • \(-9x^3y^2z\): One term → monomial.
  • \(5 - \dots\): If two terms → binomial.
  1. Expression (8): \(15x^4\)

One term → monomial.

Example Answer for a Complete Expression (e.g., \(9x^9\)):
Brief Explanations

A monomial has one term. \(9x^9\) has only one term (coefficient \(9\), variable \(x^9\)).

Answer:

\(9x^9\) is a monomial.

If you provide the full expressions for (4) and (6), we can classify them more precisely!