CLASSIFY POLYNOMIALS BY NUMBER OF TERMS

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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