Maths · Polynomial, rational, trigonometric, logarithmic and exponential functions
If a monomial binomial and a trinomial are added, then the resultant expression
If a monomial \( \frac{2}{5} x^{2} y^{2}, \) binomial \( 2 x+3 y \) and a trinomial \( 2 x+3 y+4 z \) are added, then the resultant expression is \( a \)
- A. Monomial
- B. Binomial
- C. Multinomial
- D. Trinomial
Step-by-step solution
Adding the monomial (2/5 x^2 y^2), binomial (2x+3y), and trinomial (2x+3y+4z) gives (2/5 x^2 y^2) + (2x+3y) + (2x+3y+4z) = (2/5 x^2 y^2) + 4x + 6y + 4z, which has four terms. A multinomial is an algebraic expression with more than one term, and specifically more than three terms (beyond binomial and trinomial). Thus, the resultant expression is a multinomial.