Question

Which one of the following is a trinomial?
A) $x + {y^3}$
B) ${a^2} + {b^2} + {c^2}$
C) ${x^4} + 2x$
D) $15{z^2}$

Answer 1

Hint:
This question refers to expression and equations.
The algebraic equation that contains three variables is called trinomial.

Complete step by step solution:
1) The equation contains two variables i.e. x and y. Therefore, it is not a trinomial.
2) The equation contains three variables i.e. a, b and c. Therefore, it is a trinomial.
3) The equation contains only one variable i.e. x. Therefore, it is not a trinomial.
4) The equation contains only one element i.e. z. Therefore, it is not a trinomial.

Hence, option (B) is correct.

Note:
Monomial: The algebraic equation that contains only one variable is called monomial.
Binomial: The algebraic equation that contains two variables is called binomial.

Additional Information:
Types of equation as per degree:
The equation with degree 1 is called linear equation.
For example: In equation $ax + b$ , the degree of variable x is 1.
The equation with degree 2 is called quadratic equation.
For example: In equation $a{x^2} + bx + c$ , the degree of variable x is 2.
The equation with degree 3 is called the cubic equation.
For example: In equation $a{x^3} + b{x^2} + cx + d$ , the degree of variable x is 3.
The equation with degree 4 is called a biquadratic equation.