Question

Identify the polynomial(s)

1. a^2 + bcd^3
2. a^2 + b - cd^3
3. a^2 - b + c - d^3
Choices:
• monomial
• binomial
• trinomial
• four-term polynomial
• five-term polynomial

Answer 1

In this item, we are to determine the classification of each of the polynomials depending on the number of terms present in each. The prefixes of the classification suggest the number of terms present.
1.) a^2 + bcd^3
This is a binomial because there are only two terms. The first one is a^2 and the second term is bcd^3.
2.) a^2 + b - cd^3
This is a trinomial because there are three terms. The first term is a^2, followed by b and the third term is -cd^3.
3.) a^2 - b + c - d^3
This last item is an example of a four-term polynomial. The first term is still a^2, second one is -b. The third one is c, and the last one is -d^3.