The degree of a polynomial equation is the highest power of the variable in the given polynomial equation. The order of the given polynomial expression from least to greatest based on their degree is,
[tex]8a-5[/tex]
[tex]6x^2[/tex]
[tex]18x^3+5ab-6y[/tex]
[tex]4x^3y+3x^2-xy-4[/tex]
Thus the correct order is III-I-II-IV.
Given information-
Polynomial expressions are given in the random order.
Polynomial expressions are the expression which consists the variables constants and the coefficients.
The expressions given in the problem has to be arranged in the least to greatest based on their degree.
The degree of a polynomial equation is the highest power of the variable in the given polynomial equation.
As the 3rd expression has no variable. Thus the power of the variable is zero for it. The expression 1 has the highest degree of variable as 2. The expression number 2 has the highest power of the variable is 3.
Hence the order of the given polynomial expression from least to greatest based on their degree is,
[tex]8a-5[/tex]
[tex]6x^2[/tex]
[tex]18x^3+5ab-6y[/tex]
[tex]4x^3y+3x^2-xy-4[/tex]
Thus the correct order is III-I-II-IV.
Learn more about the polynomial expression here;
https://brainly.com/question/16059429
