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is the polynomial of one variable with second-order and
is the polynomial of two variables with third-order
Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.
We have polynomials:
and
For
In this polynomial, the number of variables is one and the maximum power of x is 2, therefore:
This is the polynomial of one variable with second order.
In polynomial, there are two variables x and y.
The maximum power of x is 3( x has a power of 2 and y has a power of 1)
This is the polynomial of two variables with third order.
Thus, is the polynomial of one variable with second-order and
is the polynomial of two variables with third-order.
Learn more about Polynomial here: