
Which polynomial has only one term?
a) binomial
b) multinomial
c) trinomial
d) monomial
Answer
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Hint: A polynomial is an expression consisting of indeterminates (also called variables) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.
Complete answer:
Polynomials can be classified on the basis of the number of terms it contains. If it has only one term then it is called a monomial. If it has two terms it is called a binomial. If it has three terms then it is called a trinomial. If the polynomial contains more than three terms then it is called a multinomial.
So, the polynomial with only one term is called a monomial. For example; are examples of monomials.
Therefore, the correct option is (d).
Additional details:
The occurring in a polynomial is commonly called a variable or an indeterminate. When the polynomial is considered as an expression, is a fixed symbol which does not have any value (its value is "indeterminate"). However, when one considers the function defined by the polynomial, then represents the argument of the function, and is therefore called a "variable". A polynomial in the indeterminate is commonly denoted either as or as .
Note: One major mistake that many students make is that while classifying a given expression as a polynomial, they do not see whether the exponents of the terms in the expression are non-negative or not. If the exponent of any of the terms in the given expression is negative then that expression cannot be considered as a polynomial.
Complete answer:
Polynomials can be classified on the basis of the number of terms it contains. If it has only one term then it is called a monomial. If it has two terms it is called a binomial. If it has three terms then it is called a trinomial. If the polynomial contains more than three terms then it is called a multinomial.
So, the polynomial with only one term is called a monomial. For example;
Therefore, the correct option is (d).
Additional details:
The
Note: One major mistake that many students make is that while classifying a given expression as a polynomial, they do not see whether the exponents of the terms in the expression are non-negative or not. If the exponent of any of the terms in the given expression is negative then that expression cannot be considered as a polynomial.
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