Respuesta :
Polynomial equation is a equation which is formed with coefficients variables and exponents with basic mathematics operation and equality sign. From the given option the option C correctly combines the like terms and puts the given polynomial in standard form which is,
[tex]8x^4-\dfrac{2}{3}x^2-\dfrac{2x}{3}\\[/tex]
Hence the option C is the correct option.
Given information-
The given polynomial equation in the problem is,
[tex]\dfrac{1}{3} x+8x^4-\dfrac{2}{3}x^2-x[/tex]
Polynomial equation
Polynomial equation is a equation which is formed with coefficients variables and exponents with basic mathematics operation and equality sign.
In the above polynomial equation the variable are x and the highest power of the variable x is four.
Arrange the given polynomial equation in the power of the variable x. Thus,
[tex]8x^4-\dfrac{2}{3}x^2+\dfrac{1}{3} x-x[/tex]
Make the group of the same power of the variable x. Therefore,
[tex]8x^4-\dfrac{2}{3}x^2+(\dfrac{1}{3} x-x)[/tex]
[tex]8x^4-\dfrac{2}{3}x^2+\dfrac{x-3x}{3}\\[/tex]
[tex]8x^4-\dfrac{2}{3}x^2-\dfrac{2x}{3}\\[/tex]
From the given option the option C correctly combines the like terms and puts the given polynomial in standard form which is,
[tex]8x^4-\dfrac{2}{3}x^2-\dfrac{2x}{3}\\[/tex]
Hence the option C is the correct option.
Learn more about the polynomial equation here;
https://brainly.com/question/25958000
