Classify 4x5−7x3−2x2+6 (1 point) Responses binomial binomial trinomial trinomial polynomial of 4 terms polynomial of 4 terms polynomial of 5 terms
The expression 4x^5 - 7x^3 - 2x^2 + 6 is a polynomial because it consists of a sum of multiple terms that are each non-negative integer powers of x multiplied by coefficients.
Each term in this expression is as follows:
- 4x^5 is a term with x raised to the 5th power.
- 7x^3 is a term with x raised to the 3rd power.
- 2x^2 is a term with x raised to the 2nd power.
- 6 is a constant term (you can think of it as x raised to the 0 power).
Polynomials are classified by the number of terms they have:
- A monomial has 1 term.
- A binomial has 2 terms.
- A trinomial has 3 terms.
- A polynomial with more than 3 terms doesn't have a special name based on the number of terms; it's simply called a polynomial followed by the number of terms it contains.
Therefore, the expression 4x^5 - 7x^3 - 2x^2 + 6 is a polynomial of 4 terms.