Respuesta :
The polynomials are [tex]\rm x^3y -3x^{2} +6x[/tex], [tex]\rm y^2 +5y - \sqrt3[/tex], [tex]\rm -x \sqrt{6}[/tex], and [tex]\rm -\dfrac{1}{3} x^3 - \dfrac{1}{2}x^{2} + \dfrac{1}{4}[/tex].
What is polynomial?
Polynomial is an algebraic expression that consists of variables and coefficients. Variable are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.
a.
[tex]\rm 2x^3 - \dfrac{1}{x}[/tex], this expression is not a polynomial because x is in the denominator.
b. [tex]\rm x^3y -3x^{2} +6x[/tex], this is the polynomial.
c. [tex]\rm y^2 +5y - \sqrt3[/tex], This is the polynomial.
d. [tex]\rm 2 - \sqrt{4x}[/tex], this expression is not a polynomial because the power of x can not be in a fraction.
e. [tex]\rm -x \sqrt{6}[/tex], this is a polynomial.
f.
[tex]\rm -\dfrac{1}{3} x^3 - \dfrac{1}{2}x^{2} + \dfrac{1}{4}[/tex], this is a polynomial.
Thus, b, c, e, and d are the polynomials.
More about the polynomial link is given below.
https://brainly.com/question/17822016
