---- > [!definition] Definition. ([[monic polynomial]]) > A **monic polynomial** is a [[polynomial]] whose leading coefficient is $1$. > [!basicproperties] > - A monic polynomial is necessarily a [[zero-divisor|non-zero-divisor]] > - If $f(x)$ is monic, then $\text{deg}(f(x)q(x))=\text{deg }f(x) + \text{deg }q(x)$. ---- #### ---- #### References > [!backlink] > ```dataview > TABLE rows.file.link as "Further Reading" > FROM [[]] > FLATTEN file.tags as Tag > WHERE Tag = "#definition" OR Tag = "#theorem" OR Tag = "#MOC" OR Tag = "#proposition" OR Tag = "#axiom" > GROUP BY Tag > ``` > [!frontlink] > ```dataview > TABLE rows.file.link as "Further Reading" > FROM outgoing([[]]) > FLATTEN file.tags as Tag > WHERE Tag = "#definition" OR Tag = "#theorem" OR Tag = "#MOC" OR Tag = "#proposition" OR Tag = "#axiom" > GROUP BY Tag > ```