Determine if (x3/11)+(x2/8) & 4x-22x+35x are Polynomials

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The discussion focuses on determining whether the expressions (x3/11)+(x2/8) and 4x-22x+35x qualify as polynomials. The first expression is confirmed as a polynomial since it can be expressed in the standard form with real coefficients, including fractions. Conversely, the second expression is not a polynomial because it involves a variable as an exponent, which does not conform to the polynomial definition of a+bx+cx2+...+pxn.

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the directions are: determine whether each expression is a polynomial.:rolleyes:

i got the easyones like: 12x3-2x2+0.5 is a polynomial

but i can't figure these out:

(x3/11)+(x2/8)
I don't know if the variables can be fractions but i think this could be this:
1/11x3+1/8 x2 so i think it is a polynomial.

4x-22x+35x

im not sure if the variable can be the exponent

please explain how it is or is not a polynomial. thank you:cry:
 
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Polynomials are functions that can be expressed as [itex]a+bx+cx^2+...+px^n[/itex] for real numbers a,b,c,...,p.
Thus the one with fractions is a polynomial because those fractions are real numbers. The one with x in the exponent, though, can't be so written, so it's not a polynomial.
 
Moo Of Doom said:
Polynomials are functions that can be expressed as [itex]a+bx+cx^2+...+px^n[/itex] for real numbers a,b,c,...,p.
Thus the one with fractions is a polynomial because those fractions are real numbers. The one with x in the exponent, though, can't be so written, so it's not a polynomial.

THANKS DUDIE! I TOTALLY GET IT KNOW!:biggrin: :biggrin: :biggrin: :biggrin: :biggrin: :biggrin: :biggrin: :biggrin: :biggrin: :biggrin: :biggrin: :biggrin: :biggrin: :biggrin: :!)
 

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