Polynomial equation is a equation which is formed with coefficients variables and exponents with basic mathematics operation and equality sign. The given option the option A matches correctly with the above polynomial equation which is,
[tex]-7xy^3+8x^2y^2-\dfrac{3x^3y}{2}+4x^4[/tex]
Hence the option A is the correct option.
The given polynomial equation in the problem is,
[tex]8x^2y^2-\dfrac{3x^3y}{2}+4x^4-7xy^3[/tex]
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 y and the highest power of the variable x is four and highest power of the variable y is three.
Arrange the polynomial equation in the power of the variable x. Thus,
[tex]4x^4-\dfrac{3x^3y}{2}+8x^2y^2-7xy^3[/tex]
Arrange the polynomial equation in the power of the variable y. Thus,
[tex]-7xy^3+8x^2y^2-\dfrac{3x^3y}{2}+4x^4[/tex]
From the given option the option A matches correctly with the above polynomial equation which is,
[tex]-7xy^3+8x^2y^2-\dfrac{3x^3y}{2}+4x^4[/tex]
Thus the option A is the correct option.
Learn more about the polynomial equation here;
https://brainly.com/question/25958000
