Definition:Leading Coefficient of Polynomial/Polynomial Form
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Definition
Let $R$ be a commutative ring with unity.
Let $f = a_0 + a_1 X + \cdots + a_{r-1} X^{r-1} + a_r X^r$ be a polynomial form in the single indeterminate $X$ over $R$.
Then the ring element $a_r$ is called the leading coefficient of $f$.
Sources
- 2000: Pierre A. Grillet: Abstract Algebra: $\S \text{III}.6$