**Classify polynomials by degree :**

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

A polynomial of degree zero is called a constant polynomial.

General form : p(x) = c, where c is a real number.

A polynomial of degree one is called a linear polynomial.

General form : p(x) = ax+b, where a and b are real numbers and a ≠ 0.

A polynomial of degree two is called a quadratic polynomial.

General form: p(x) = ax^{2} + bx + c where a, b and c are real numbers and a ≠ 0.

A polynomial of degree three is called a cubic polynomial.

General form : p(x) = ax^{3} + bx^{2} + cx + d where a,b,c and d are real numbers and a ≠ 0.

Let us look into some example problems based on the concept.

**Example 1 :**

Classify the following polynomial based on degree

x^{3} - x^{2}

**Solution :**

Degree of the given polynomial is 3.

Hence it is cubic polynomial.

**Example 2 :**

Classify the following polynomial based on degree

3x^{2 }+ 2x - 1

**Solution :**

Degree of the given polynomial is 2.

Hence it is quadratic polynomial.

**Example 3 :**

Classify the following polynomial based on degree

y + 3

**Solution :**

Degree of the given polynomial is 1.

Hence it is linear polynomial.

**Example 4 :**

Classify the following polynomial based on degree

4x^{3}

**Solution :**

Degree of the given polynomial is 3.

Hence it is cubic polynomial.

**Example 5 :**

Classify the following polynomial based on degree

(5/2)y^{2} + 1

**Solution :**

Degree of the given polynomial is 2.

Hence it is quadratic polynomial.

**Example 6 :**

Classify the following polynomial based on degree

√3x + 1

**Solution :**

Degree of the given polynomial is 1.

Hence it is linear polynomial.

**Example 7 :**

Classify the following polynomial based on degree

7

**Solution :**

Degree of the given polynomial is 0.

Hence it is constant polynomial.

**Example 8 :**

Classify the following polynomial based on degree

y^{3} + 3y

**Solution :**

Degree of the given polynomial is 3.

Hence it is cubic polynomial.

- Classifying polynomials based on number of terms
- Classifying polynomials by degree worksheet
- Classifying polynomials based on number of terms worksheet

After having gone through the stuff given above, we hope that the students would have understood "Classifying polynomials by degree".

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