Identify 3x^5 − x^2 + 4x as a monomial, binomial, or trinomial.
A. trinomial
B. binomial
C. monomial
D. none of these
terms are separated by + or - signs. So, there are 3 terms, making this a trinomial.
To identify whether 3x^5 − x^2 + 4x is a monomial, binomial, or trinomial, we need to understand the definitions of these terms.
- A monomial is an algebraic expression with only one term. For example, 5x or 2xy^2.
- A binomial is an algebraic expression with two terms. For example, 3x + 2y or 7x^2 - 4y.
- A trinomial is an algebraic expression with three terms. For example, 2x^2 + 5x - 3 or 4x^3 - 2x + 7.
Looking at the expression 3x^5 − x^2 + 4x, we can see that it has three terms separated by addition (−). Hence, the answer is A. trinomial.