Question

Categorize the following expressions based on the number of terms.

$a.u^{2}v+2uuv-7u{v}^{2}b.6x^{3}y{z}^{2}c.3s^2+st+3t^3$

• A. a – polynomial, b – monomial, c – trinomial
• B. a – trinomial, b – monomial, c – trinomial
• C. a – binomial, b – monomial, c – trinomial
• D. a – binomial, b – trinomial, c – monomial

Answer 1

The correct option is C

a – binomial, b – monomial, c – trinomial

Let’s start with $u^{2}v+2uuv-7u{v}^2=3u^{2}v-7u{v}^2$. It has reduced to 2 terms. 2 is equivalent to the prefix ‘bi’. Hence, it is a binomial.

In $6x^{3}y{z}^2$, there is only one term. As one is equivalent to prefix ‘mono’, it is a monomial.

In $3s^2+st+3t^3$, we have three unlike terms and it is called trinomial.