Question

A polynomial having terms more than three is known as:
A. Trinomial
B. Multinomial
C. Monomial
D. None of these

Answer 1

Hint:Polynomial having one term is called monomial and if it has two terms then it is called binomial and if it has three terms then it is called trinomial. Hence you would get cleared by hint about the answer.

Complete step-by-step answer:
First of all, we should know what is polynomial, so an algebraic expression in two or more variables is called a polynomial if the power of each variable in each term is a whole number. The term is separated by either $ + $ or $ - $ sign.
For example:
${x^2} + y$ has two terms.
${x^2} + 2{x^2} + y + 2$ has three terms because here ${x^2}$ and $2{x^2}$ are treated as a single term because we can add them.
So now you would be clear about what is called as a term.
So the algebraic expression containing one term is called monomial. $2x$$,$$y,9$ all are monomial
If the algebraic expression contains two unequal terms then it is called binomial.
$x + y,2y + z$ are binomials.
So similarly if an algebraic expression contains three unequal terms then it is called trinomial.
Example: $x + y + z$.
Now if an algebraic expression has two or more unlike terms then it is known as multinomial and according to the problem it is said that the polynomial has more than three terms so it comes under the category of multinomial.
Multinomial is an algebraic expression which contains two or more unlike terms.

So, the correct answer is “Option B”.

Note:In mathematics, a polynomial is an expression consisting of variables (also called indeterminates) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. An example of a polynomial of a single indeterminate x is $x^2+x-7$.