Marcus states that the polynomial expression 3x3 – 4x2y + y2 + 2 is in standard form. ariel states that it should be y2 – 4x2y + 3x3 +2. explain which student is correct and why.

I know that ariel is wrong because 3x^3 is higher power than y^2
3x^3 goes first
then the mixed term -4x^2y
then the y^2
then the 2
marcus is right

Standard form means that you write the terms by descending degree. Here's main rules how to write polynomial expression in the standard form:

1.Write the term with the highest exponent first (terms of third degree in following order: );

2.Write the terms with lower exponents in descending order (term );

3.Remember that a variable with no exponent has an understood exponent of 1 (here are no such terms);

4.A constant term (a number with no variable) always goes last (term 2).

Then the standard form is .