Question 337158
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The terms are arranged in order of descending degree.  The following is a general polynomial of degree *[tex \Large n] in standard form.


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \alpha_0x^n\ +\ \alpha_1x^{n-1}\ +\ \alpha_2x^{n-2}\ +\ \cdots\ +\ \alpha_{n-2}x^2\ +\ \alpha_{n-1}x\ +\ \alpha_n]


A polynomial <i>equation</i> in standard form is an equation with a standard form polynomial in the LHS set equal to a zero RHS, thus:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \alpha_0x^n\ +\ \alpha_1x^{n-1}\ +\ \alpha_2x^{n-2}\ +\ \cdots\ +\ \alpha_{n-2}x^2\ +\ \alpha_{n-1}x\ +\ \alpha_n\ =\ 0]


A polynomial <i>function</i> in standard form is a function defined by a polynomial in standard form:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \rho(x)\ =\ \alpha_0x^n\ +\ \alpha_1x^{n-1}\ +\ \alpha_2x^{n-2}\ +\ \cdots\ +\ \alpha_{n-2}x^2\ +\ \alpha_{n-1}x\ +\ \alpha_n]


And, by the way, all caps is the electronic equivalent of shouting.  It is therefore both annoying and rude.  Please stop doing it.


John
*[tex \LARGE e^{i\pi} + 1 = 0]
My calculator said it, I believe it, that settles it
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