Question

Classify the following polynomial as monomial, binomial, trinomial. \[pqr\]

Answer 1

Hint: To solve these kinds of questions, we need to learn about the basic definition of polynomial with mathematical expression and their basic types such as Monomial, Binomial, and Trinomial and their examples. After that, we can solve the given question, based on which type of polynomial.

Complete step-by-step solution:
A polynomial is an expression that consists of variables and coefficients and it involves the operations such as addition, subtraction, multiplication and non-negative exponentiation of the variables.\[a{{x}^{2}}+bx+c\] is a polynomial as it contains variables, their coefficients and involves the operation of addition. There are three basic types of polynomials, namely Monomial, Binomial and Trinomial.
A monomial is defined as a polynomial consisting of only one term; it can include the number, whole number, or variables that are multiplied together. A monomial can be a constant, a variable, or a multiple of numbers and variables.
\[Eg.-y,3,xyzr\]
A binomial is a polynomial consisting of two terms or two monomials. A binomial can be the sum of two variables, constants, or two multiples of variables and numbers.
 \[Eg.-y+1,x+yz\]
A trinomial is a polynomial consisting of three terms or three monomials. A trinomial can be the sum of three constant or three variables or three multiples of numbers and variables.
\[Eg.x-y+1,x+yz+5,a+b+c\]
Here in the question, we need to check the given polynomial which category it falls into.,
The polynomial \[pqr\]has exactly one term, i.e., \[pqr\]. Therefore, we can conclude it as a monomial.
The correct answer is ‘Monomial’.

Note: Here in this question or in questions of this type we should be sure with our concepts for solving it accurately within a less span of time. Similarly, we can classify any expression as Monomial, Binomial, and Trinomial and so on.