Question

identify the type of polynomial for (x^{4}+2x^{3}-x^{2}+4).

a. binomial

b. trinomial

c. monomial

d. polynomial with four terms

Explanation:

A term in a polynomial is a single part separated by + or - signs. For $x^4 + 2x^3 - x^2 + 4$, the terms are $x^4$, $2x^3$, $-x^2$, and $4$, which totals four distinct terms. A binomial has 2 terms, trinomial has 3, and monomial has 1, so this matches option d.

Answer:

d. Polynomial with four terms