Question 318354
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A polynomial is an expression of finite length constructed from variables  and constants, using only the operations of addition, subtraction, multiplication, and non-negative, whole-number exponents.


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 9x^3\ +\ 6x^6\ +\ 8]


Looks very polynomial-like to me.  Let's see


Finite length  &#8730;
Constants and variables &#8730;
only Addition, Subtraction, and Multiplication &#8730;
All exponents are non-negative whole numbers &#8730;


Passes all of the tests.  Add the exponents in each term.  First term 3:  Second term 6:  Third term: 0.  Highest is 6, degree of the polynomial is therefore 6.


Super Double Plus Extra Credit:


Is *[tex \LARGE 3] a polynomial?


John
*[tex \LARGE e^{i\pi} + 1 = 0]
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