Question

Classify the polynomial: as a monomial, binomial, or trinomial.

Ask by Dawson Frank. in South Africa
Jan 21,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

It is a trinomial because it has three terms.

Solution

The polynomial consists of three separate terms:
  1.  — a quadratic term
  2.  — a linear term
  3.  — a constant term
Definitions:
  • Monomial: A polynomial with one term (e.g., ).
  • Binomial: A polynomial with two terms (e.g., ).
  • Trinomial: A polynomial with three terms (e.g., ).
Since has three terms, it is classified as a trinomial.
Answer: It is a trinomial because it consists of three distinct terms.

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Extra Insights

The polynomial is classified as a trinomial because it consists of three terms: , , and . Each term represents a different power of the variable , and together they form a complete expression.
Polynomials like this one are widely used in various fields, including engineering and physics. They can represent trajectories, model population growth, or even describe financial trends. So next time you see a trinomial, remember that it has real-world implications beyond just math class!

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