List the names of the polynomials so they describe each polynomial based on the number of terms.

Question

Submit

Answer 1

Polynomials are typically classified based on the number of terms they contain. Here’s a list of the different types of polynomials based on their number of terms:

1. Monomial: A polynomial with one term.

   • Example: \( 3x^2 \)

2. Binomial: A polynomial with two terms.

   • Example: \( 4x + 5 \)

3. Trinomial: A polynomial with three terms.

   • Example: \( x^2 + 2x + 1 \)

4. Polynomial with more than three terms: This is generally just referred to as a polynomial.

   • Example: \( x^3 + 2x^2 + 3x + 4 \)

To summarize:

• 1 term: Monomial
• 2 terms: Binomial
• 3 terms: Trinomial
• 4 or more terms: Polynomial (no specific name based on the number of terms)