Sagot :
By using definition of polynomial we got that out of
[tex]$\pi x-\sqrt{3}+5y$[/tex] , [tex]$x^{2} y^{2}-4 x^{3}+12 y$[/tex], [tex]\frac{4}{x} -x^{2}[/tex] , [tex]$\sqrt{x}-16$[/tex] and [tex]$3.9 x^{3} +1 x^{2}+7.3[/tex]
only [tex]$3.9 x^{3} +1 x^{2}+7.3[/tex] is an polynomial .
what is polynomial?
A polynomial is an expression, which involves only the operations of addition, subtraction, multiplication and exponentiation of non-negative integers of unknown variable .
(i)
[tex]$\pi x-\sqrt{3}+5y$[/tex]
This consist of 2 variable so this is not a polynomial
(ii)
[tex]$x^{2} y^{2}-4 x^{3}+12 y$[/tex]
This consist of 2 variable so this is not a polynomial
(iii)
[tex]\frac{4}{x} -x^{2}[/tex]
Here variable x is in denominator in term 4/x so this is not a polynomial
(iv)
[tex]$\sqrt{x}-16$[/tex]
Here power of variable x is not an integer so it's not a polynomial
(v)
[tex]$3.9 x^{3} +1 x^{2}+7.3[/tex]
This satisfy all condition of being a polynomial hence this is a polynomial.
By using definition of polynomial we got that out of
[tex]$\pi x-\sqrt{3}+5y$[/tex] , [tex]$x^{2} y^{2}-4 x^{3}+12 y$[/tex], [tex]\frac{4}{x} -x^{2}[/tex] , [tex]$\sqrt{x}-16$[/tex] and [tex]$3.9 x^{3} +1 x^{2}+7.3[/tex]
only [tex]$3.9 x^{3} +1 x^{2}+7.3[/tex] is an polynomial .
To learn more about polynomial visit : https://brainly.com/question/2833285