Definition:Depressed Polynomial

Definition

Let $f \left({x}\right)$ be a polynomial over a field $k$:

$f \left({x}\right) = a_n x^n + a_{n-1} x^{n-1} + a_{n-2} x^{n-2} + \cdots + a_1 x + a_0$

If $a_{n-1} = 0_k$, then we call $f$ a depressed polynomial.

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Also see

• Definition:Tschirnhaus Transformation, a useful technique for producing a depressed polynomial from an arbitrary polynomial