SOLUTION: <pre> Which term in the expression below is the one that prevents it from being a polynomial? _ 13x³ - 2.5x² - 7<font face = "symbol">Ö</font>x + {{{matrix(3,

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: <pre> Which term in the expression below is the one that prevents it from being a polynomial? _ 13x³ - 2.5x² - 7<font face = "symbol">Ö</font>x + {{{matrix(3,      Log On


   

Question 555719: 
Which term in the expression below is the one that prevents it from 
being a polynomial?
                 _
13x³ - 2.5x² - 7Öx + matrix%283%2C1%2C%0D%0A%0D%0A%22%22%2C+9%5E%281%2F2%29%2C%22%22%29



Found 2 solutions by jim_thompson5910, Edwin McCravy:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
The term -7%2Asqrt%28x%29 prevents it from being a polynomial because polynomials must have exponents that are whole numbers over each variable.


Note: sqrt%28x%29=x%5E%281%2F2%29%5E%22%22

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Answer by Edwin McCravy(20059) About Me  (Show Source):
You can put this solution on YOUR website!
                
13x³ - 2.5x² - 7Öx + matrix%283%2C1%2C%0D%0A%0D%0A%22%22%2C+9%5E%281%2F2%29%2C%22%22%29

It's the square root term with a variable underneath.
   _
-7Öx

that prevents it from being a polynomial.

A polynomial can have only terms with WHOLE NUMBER powers of VARIABLES, 
and no VARIABLES under root radicals or in denominators.  It is OK to have
CONSTANTS under radicals, or CONSTANTS under root radicals, just
not VARIABLES.  


Edwin