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

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The discussion focuses on determining whether the expressions (x^3/11) + (x^2/8) and 4x - 22x + 35x are polynomials. It is clarified that the first expression is a polynomial since it can be expressed with real number coefficients, including fractions. In contrast, the second expression, which simplifies to 17x, is also a polynomial as it fits the polynomial form. The key takeaway is that polynomials can include fractions but cannot have variables as exponents. Understanding these definitions helps clarify the classification of these expressions.
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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 a+bx+cx^2+...+px^n 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 a+bx+cx^2+...+px^n 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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