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# Define the degree of a polynomial with its types

The degree of a polynomial is the highest exponential power of the variable in the polynomial.

## Answer: Classification of the polynomials is based on the degree of a polynomial. The degree of a polynomial can be 0, 1, 2, 3, and so on for different polynomials.

Let's explore more about the degree of a polynomial with its types.

**Explanation:**

The degree of a polynomial is the highest exponential power in the polynomial equation.

Consider the polynomial p(x) : 2x^{5 }− 12x^{3}+ 3x − 6.

The term with the highest power of *x* is 2x^{5 }and the corresponding (highest) exponent is 5. Therefore, we will say that the degree of this polynomial is 5.

Thus, the degree of a polynomial is the greatest power of a variable in the polynomial equation.

Each of the polynomials has a specific degree and based on that they have been assigned a specific name.

Types of Polynomials | Degree | Examples |
---|---|---|

Constant | 0 | 3 |

Linear | 1 | x + 8 |

Quadratic | 2 | 3x^{2} - 4x + 9 |

Cubic | 3 | 2x^{3} + 3x^{2} + 4x + 6 |

Quartic | 4 | x^{4}- 3x+ 16 |

Quintic | 5 | 4x^{5}+ 2x^{3} - 20 |

### Thus, the degree of a polynomial directly affects the nature of the polynomial expression.

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