# Degree (Polynomial)

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Definition
 Degree (Polynomial) Degree (of polynomial $p(x_1,\ldots,x_n)\neq0$): The largest integer $m\,$ such that there is a term $cx_1^{m_1}\ldots x_n^{m_n}$ $\text { with }$$c\neq0$ in $p\,$ having degree $m\,$. In other words, the degree of the single variable polynomial $p\,$ is just the highest power of $x\,$.

## Examples

$\text{Let }p=4x^6-7x^2-6x^3-4x^4+5x+3\,$
The highest power of this single variable polynomial is 6 then its degree is 6