Question

Which of the following shows 2x3y - 3x2 + 7y2x - 12y written in standard form?

2x3y + 7y2x - 3x2 - 12y

-12y + 7y2x - 3x2 + 2x3y

7y2x - 12y + 2x3y - 3x2

-12y - 3x2 + 7y2x + 2x3y



I would really appreciate some help on this question :)

Answer 1

http://www.mathsisfun.com/algebra/standard-form.html <--- keep in mind that

\(\large{ 2x^3y - 3x^2 + 7y^2x - 12y\implies 2x^3y^1 - 3x^2 + 7y^2x^1 - 12y^1\\ \quad \\
\begin{array}{ccccccll}
&&Degrees\\
\hline\\
3+1&2&2+1&1\\
\downarrow &\downarrow &\downarrow &\downarrow \\
2x^{\color{red}{ 3}}y^{\color{red}{ 1}} -& 3x^{\color{red}{ 2}} +& 7y^{\color{red}{ 2}}x^{\color{red}{ 1}} -& 12y^{\color{red}{ 1}}
\end{array}}\)

Answer 2

Okay, so would I combine the exponents that are capable of being combined? @jdoe0001

Answer 3

well, you can combine the exponents that are like-terms
however due to the different exponents on the variables, there aren't like terms per se, \(\bf x^2y \ne xy^2\) so that wouldn't combine, like-terms have the same variables with the same exponents order, in this polynomial, you have no like-terms
so to put it in "standard form"

arrange all terms in DESCENDING order from left-to-right, based on their Degree