How do you classify the polynomial as a monomial, binomial, trinomial or none of these: $9{{x}^{4}}-4$ ?
Answer
612.9k+ views
Hint: In this question we have been asked to classify the given expression $9{{x}^{4}}-4$ as monomial, binomial, trinomial or none. From the basic concepts we know that a monomial is an expression that has only one term which is the product of positive integer powers of variables.
Complete step by step solution:
Now considering from the question we have been asked to classify the given expression $9{{x}^{4}}-4$ as monomial, binomial, trinomial or none.
From the basic concepts we know that a monomial is an expression that has only one term which is the product of positive integer powers of variables. Similarly a binomial is the one having two terms in which each term is the product of positive integer powers of variables whereas a trinomial is the one having three terms in which each term is the product of positive integer powers of variables and so on.
Here in the given expression we have two terms $9{{x}^{4}}$ and $-4$ and these terms are in the form of products of positive integer powers of variables. Therefore we can conclude it as a binomial.
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, trinomial and so on. The examples of monomials are $4x,5q$ and the trinomial is $4x+5q+2$ .
Complete step by step solution:
Now considering from the question we have been asked to classify the given expression $9{{x}^{4}}-4$ as monomial, binomial, trinomial or none.
From the basic concepts we know that a monomial is an expression that has only one term which is the product of positive integer powers of variables. Similarly a binomial is the one having two terms in which each term is the product of positive integer powers of variables whereas a trinomial is the one having three terms in which each term is the product of positive integer powers of variables and so on.
Here in the given expression we have two terms $9{{x}^{4}}$ and $-4$ and these terms are in the form of products of positive integer powers of variables. Therefore we can conclude it as a binomial.
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, trinomial and so on. The examples of monomials are $4x,5q$ and the trinomial is $4x+5q+2$ .
Recently Updated Pages
Find the greatest six digit number that is exactly class 8 maths CBSE

What is the time difference between India and Cana class 8 social science CBSE

Compare LPG and wood as fuels class 8 chemistry CBSE

In Indian rupees 1 trillion is equal to how many c class 8 maths CBSE

30 opposite words in English from a to z class 8 english CBSE

How many cubic feet equals to 1 unit sand class 8 maths CBSE

Trending doubts
What is BLO What is the full form of BLO class 8 social science CBSE

Citizens of India can vote at the age of A 18 years class 8 social science CBSE

Full form of STD, ISD and PCO

One cusec is equal to how many liters class 8 maths CBSE

Who commanded the Hector the first British trading class 8 social science CBSE

What are the methods of reducing friction. Explain

