# Degree (Polynomial)

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Definition

Degree (Polynomial)
Degree (of polynomial [math]p(x_1,\ldots,x_n)\neq0[/math]): The largest integer [math]m\,[/math] such that there is a term [math]cx_1^{m_1}\ldots x_n^{m_n}[/math] |

## Examples

[math]\text{Let }p=4x^6-7x^2-6x^3-4x^4+5x+3\,[/math]

The highest power of this single variable polynomial is 6 then its degree is 6

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