**Classify polynomials by number of terms :**

Here we are going to see how to classify polynomials by degree.

Polynomials which have only one term are known as monomials.

Polynomials which have only two terms are called as binomials.

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

x^{3} - x^{2}

**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

4x^{4} + 2x^{3} + 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

4x^{3}

**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

y^{20} + y^{18} + y^{2}

**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

u^{23} - u^{4}

**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

u^{3} - 2u^{2}

**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

3x^{2}

**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.

After having gone through the stuff given above, we hope that the students would have understood "Classify polynomials by number of terms".

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