CLASSIFY POLYNOMIALS BY NUMBER OF TERMS
About "Classify polynomials by number of terms"
Classify polynomials by number of terms :
Here we are going to see how to classify polynomials by degree.
Monomial
Polynomials which have only one term are known as monomials.
Binomial
Polynomials which have only two terms are called as binomials.
Quadratic Polynomial
Polynomials which have only three terms are named as trinomials.
Let us look into some example problems based on the concept.
Example 1 :
Classify the following polynomial based on the number of terms
x3 - x2
Solution :
The given polynomial is having only two terms.
Hence it is known as binomial.
Example 2 :
Classify the following polynomial based on the number of terms
5x
Solution :
The given polynomial is having only one term.
Hence it is known as monomial.
Example 3 :
Classify the following polynomial based on the number of terms
4x4 + 2x3 + 1
Solution :
The given polynomial is having three term.
Hence it is known as trinomial.
Example 4 :
Classify the following polynomial based on the number of terms
4x3
Solution :
The given polynomial is having only one term.
Hence it is known as monomial.
Example 5 :
Classify the following polynomial based on the number of terms
x + 2
Solution :
The given polynomial is having only two terms.
Hence it is known as binomial.
Example 6 :
Classify the following polynomial based on the number of terms
y20 + y18 + y2
Solution :
The given polynomial is having three terms.
Hence it is known as trinomial.
Example 7 :
Classify the following polynomial based on the number of terms
u23 - u4
Solution :
The given polynomial is having two terms.
Hence it is known as binomial.
Example 8 :
Classify the following polynomial based on the number of terms
u3 - 2u2
Solution :
The given polynomial is having two terms.
Hence it is known as binomial.
Example 9 :
Classify the following polynomial based on the number of terms
3x2
Solution :
The given polynomial is having only one term.
Hence it is known as monomial.
Example 10 :
Classify the following polynomial based on the number of terms
-7
Solution :
The given polynomial is having only one term.
Hence it is known as monomial.
Example 11 :
Classify the following polynomial based on the number of terms
4x
Solution :
The given polynomial is having only one term.
Hence it is known as monomial.
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