Question

Which algebraic expressions are polynomials? Check all that apply. 2x3 – StartFraction 1 Over x EndFraction x3y – 3x2 6x y2 5y – StartRoot 3 EndRoot 2 – StartRoot 4 x EndRoot –x StartRoot 6 EndRoot –one-thirdx3 – one-halfx2 one-quarter.

Answer 1

The polynomials are  $\rm x^3y -3x^{2} +6x$, $\rm y^2 +5y - \sqrt3$, $\rm -x \sqrt{6}$, and $\rm -\dfrac{1}{3} x^3 - \dfrac{1}{2}x^{2} + \dfrac{1}{4}$.

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.  

$\rm 2x^3 - \dfrac{1}{x}$, this expression is not a polynomial because x is in the denominator.

b.  $\rm x^3y -3x^{2} +6x$, this is the polynomial.

c.  $\rm y^2 +5y - \sqrt3$, This is the polynomial.

d.  $\rm 2 - \sqrt{4x}$, this expression is not a polynomial because the power of x can not be in a fraction.

e.  $\rm -x \sqrt{6}$, this is a polynomial.

f.  

$\rm -\dfrac{1}{3} x^3 - \dfrac{1}{2}x^{2} + \dfrac{1}{4}$, this is a polynomial.

Thus, b, c, e, and d are the polynomials.

More about the polynomial link is given below.

brainly.com/question/17822016